Finding the Third Proportional to 431,570 and 647,362

Step by Step Solution

1. Step 1: Write the proportion equation
   431,570 : 647,362 = 647,362 : x
2. Step 2: Convert to fraction form
   431,570/647,362 = 647,362/x
3. Step 3: Cross multiply
   431,570x = 647,362 × 647,362
4. Step 4: Simplify right side
   431,570x = 419,077,559,044
5. Step 5: Solve for x
   x = 419,077,559,044/431,570
6. Step 6: Final answer
   x = 971,053.50