Finding the Third Proportional to 353,144,722 and 824,843,002

Step by Step Solution

1. Step 1: Write the proportion equation
   353,144,722 : 824,843,002 = 824,843,002 : x
2. Step 2: Convert to fraction form
   353,144,722/824,843,002 = 824,843,002/x
3. Step 3: Cross multiply
   353,144,722x = 824,843,002 × 824,843,002
4. Step 4: Simplify right side
   353,144,722x = 680,365,977,948,371,968
5. Step 5: Solve for x
   x = 680,365,977,948,371,968/353,144,722
6. Step 6: Final answer
   x = 1,926,592,514.52