Finding the Third Proportional to 359,294 and 563,626

Step by Step Solution

1. Step 1: Write the proportion equation
   359,294 : 563,626 = 563,626 : x
2. Step 2: Convert to fraction form
   359,294/563,626 = 563,626/x
3. Step 3: Cross multiply
   359,294x = 563,626 × 563,626
4. Step 4: Simplify right side
   359,294x = 317,674,267,876
5. Step 5: Solve for x
   x = 317,674,267,876/359,294
6. Step 6: Final answer
   x = 884,162.46