Finding the Third Proportional to 83,974,529,978 and 185,065,743,601

Step by Step Solution

1. Step 1: Write the proportion equation
   83,974,529,978 : 185,065,743,601 = 185,065,743,601 : x
2. Step 2: Convert to fraction form
   83,974,529,978/185,065,743,601 = 185,065,743,601/x
3. Step 3: Cross multiply
   83,974,529,978x = 185,065,743,601 × 185,065,743,601
4. Step 4: Simplify right side
   83,974,529,978x = 34,249,329,454,591,072,272,384
5. Step 5: Solve for x
   x = 34,249,329,454,591,072,272,384/83,974,529,978
6. Step 6: Final answer
   x = 407,853,779,753.98