Finding the Third Proportional to 353,144,713.50 and 824,842,982.25

Step by Step Solution

1. Step 1: Write the proportion equation
   353,144,713.50 : 824,842,982.25 = 824,842,982.25 : x
2. Step 2: Convert to fraction form
   353,144,713.50/824,842,982.25 = 824,842,982.25/x
3. Step 3: Cross multiply
   353,144,713.50x = 824,842,982.25 × 824,842,982.25
4. Step 4: Simplify right side
   353,144,713.50x = 680,365,945,367,073,792
5. Step 5: Solve for x
   x = 680,365,945,367,073,792/353,144,713.50
6. Step 6: Final answer
   x = 1,926,592,468.63