Finding the Third Proportional to 353,144,724 and 824,843,007

Step by Step Solution

1. Step 1: Write the proportion equation
   353,144,724 : 824,843,007 = 824,843,007 : x
2. Step 2: Convert to fraction form
   353,144,724/824,843,007 = 824,843,007/x
3. Step 3: Cross multiply
   353,144,724x = 824,843,007 × 824,843,007
4. Step 4: Simplify right side
   353,144,724x = 680,365,986,196,802,048
5. Step 5: Solve for x
   x = 680,365,986,196,802,048/353,144,724
6. Step 6: Final answer
   x = 1,926,592,526.97