Finding the Third Proportional to 365,072,221,332 and 780,385,816,296

Step by Step Solution

1. Step 1: Write the proportion equation
   365,072,221,332 : 780,385,816,296 = 780,385,816,296 : x
2. Step 2: Convert to fraction form
   365,072,221,332/780,385,816,296 = 780,385,816,296/x
3. Step 3: Cross multiply
   365,072,221,332x = 780,385,816,296 × 780,385,816,296
4. Step 4: Simplify right side
   365,072,221,332x = 609,002,022,275,974,290,210,816
5. Step 5: Solve for x
   x = 609,002,022,275,974,290,210,816/365,072,221,332
6. Step 6: Final answer
   x = 1,668,168,616,209.62