Finding the Third Proportional to 359,564 and 782,550

Step by Step Solution

1. Step 1: Write the proportion equation
   359,564 : 782,550 = 782,550 : x
2. Step 2: Convert to fraction form
   359,564/782,550 = 782,550/x
3. Step 3: Cross multiply
   359,564x = 782,550 × 782,550
4. Step 4: Simplify right side
   359,564x = 612,384,502,500
5. Step 5: Solve for x
   x = 612,384,502,500/359,564
6. Step 6: Final answer
   x = 1,703,130.74