Finding the Third Proportional to 375,344 and 563,510

Step by Step Solution

1. Step 1: Write the proportion equation
   375,344 : 563,510 = 563,510 : x
2. Step 2: Convert to fraction form
   375,344/563,510 = 563,510/x
3. Step 3: Cross multiply
   375,344x = 563,510 × 563,510
4. Step 4: Simplify right side
   375,344x = 317,543,520,100
5. Step 5: Solve for x
   x = 317,543,520,100/375,344
6. Step 6: Final answer
   x = 846,006.65