Finding the Third Proportional to 353,144,698 and 824,842,942

Step by Step Solution

1. Step 1: Write the proportion equation
   353,144,698 : 824,842,942 = 824,842,942 : x
2. Step 2: Convert to fraction form
   353,144,698/824,842,942 = 824,842,942/x
3. Step 3: Cross multiply
   353,144,698x = 824,842,942 × 824,842,942
4. Step 4: Simplify right side
   353,144,698x = 680,365,878,967,215,360
5. Step 5: Solve for x
   x = 680,365,878,967,215,360/353,144,698
6. Step 6: Final answer
   x = 1,926,592,365.17