Finding the Third Proportional to 37,029,864,804 and 81,134,189,040

Step by Step Solution

1. Step 1: Write the proportion equation
   37,029,864,804 : 81,134,189,040 = 81,134,189,040 : x
2. Step 2: Convert to fraction form
   37,029,864,804/81,134,189,040 = 81,134,189,040/x
3. Step 3: Cross multiply
   37,029,864,804x = 81,134,189,040 × 81,134,189,040
4. Step 4: Simplify right side
   37,029,864,804x = 6,582,756,631,178,455,810,048
5. Step 5: Solve for x
   x = 6,582,756,631,178,455,810,048/37,029,864,804
6. Step 6: Final answer
   x = 177,768,854,032.31