Finding the Third Proportional to 83,974,530,084 and 185,065,743,792

Step by Step Solution

1. Step 1: Write the proportion equation
   83,974,530,084 : 185,065,743,792 = 185,065,743,792 : x
2. Step 2: Convert to fraction form
   83,974,530,084/185,065,743,792 = 185,065,743,792/x
3. Step 3: Cross multiply
   83,974,530,084x = 185,065,743,792 × 185,065,743,792
4. Step 4: Simplify right side
   83,974,530,084x = 34,249,329,525,286,187,827,200
5. Step 5: Solve for x
   x = 34,249,329,525,286,187,827,200/83,974,530,084
6. Step 6: Final answer
   x = 407,853,780,081.01