Finding the Third Proportional to 37,503,486,676,216 and 81,238,892,224,538

Step by Step Solution

1. Step 1: Write the proportion equation
   37,503,486,676,216 : 81,238,892,224,538 = 81,238,892,224,538 : x
2. Step 2: Convert to fraction form
   37,503,486,676,216/81,238,892,224,538 = 81,238,892,224,538/x
3. Step 3: Cross multiply
   37,503,486,676,216x = 81,238,892,224,538 × 81,238,892,224,538
4. Step 4: Simplify right side
   37,503,486,676,216x = 6,599,757,609,870,100,804,399,005,696
5. Step 5: Solve for x
   x = 6,599,757,609,870,100,804,399,005,696/37,503,486,676,216
6. Step 6: Final answer
   x = 175,977,174,251,788.75