Finding the Third Proportional to 423,288 and 564,300

Step by Step Solution

1. Step 1: Write the proportion equation
   423,288 : 564,300 = 564,300 : x
2. Step 2: Convert to fraction form
   423,288/564,300 = 564,300/x
3. Step 3: Cross multiply
   423,288x = 564,300 × 564,300
4. Step 4: Simplify right side
   423,288x = 318,434,490,000
5. Step 5: Solve for x
   x = 318,434,490,000/423,288
6. Step 6: Final answer
   x = 752,288.02