Finding the Third Proportional to 37,503,486,676,224 and 81,238,892,224,554

Step by Step Solution

1. Step 1: Write the proportion equation
   37,503,486,676,224 : 81,238,892,224,554 = 81,238,892,224,554 : x
2. Step 2: Convert to fraction form
   37,503,486,676,224/81,238,892,224,554 = 81,238,892,224,554/x
3. Step 3: Cross multiply
   37,503,486,676,224x = 81,238,892,224,554 × 81,238,892,224,554
4. Step 4: Simplify right side
   37,503,486,676,224x = 6,599,757,609,872,700,049,887,068,160
5. Step 5: Solve for x
   x = 6,599,757,609,872,700,049,887,068,160/37,503,486,676,224
6. Step 6: Final answer
   x = 175,977,174,251,820.53