Finding the Third Proportional to 357,264 and 781,488

Step by Step Solution

1. Step 1: Write the proportion equation
   357,264 : 781,488 = 781,488 : x
2. Step 2: Convert to fraction form
   357,264/781,488 = 781,488/x
3. Step 3: Cross multiply
   357,264x = 781,488 × 781,488
4. Step 4: Simplify right side
   357,264x = 610,723,494,144
5. Step 5: Solve for x
   x = 610,723,494,144/357,264
6. Step 6: Final answer
   x = 1,709,445.94