Finding the Third Proportional to 83,974,534,161 and 185,065,753,264

Step by Step Solution

1. Step 1: Write the proportion equation
   83,974,534,161 : 185,065,753,264 = 185,065,753,264 : x
2. Step 2: Convert to fraction form
   83,974,534,161/185,065,753,264 = 185,065,753,264/x
3. Step 3: Cross multiply
   83,974,534,161x = 185,065,753,264 × 185,065,753,264
4. Step 4: Simplify right side
   83,974,534,161x = 34,249,333,031,171,728,080,896
5. Step 5: Solve for x
   x = 34,249,333,031,171,728,080,896/83,974,534,161
6. Step 6: Final answer
   x = 407,853,802,028.93