Finding the Third Proportional to 402,434 and 564,003

Step by Step Solution

1. Step 1: Write the proportion equation
   402,434 : 564,003 = 564,003 : x
2. Step 2: Convert to fraction form
   402,434/564,003 = 564,003/x
3. Step 3: Cross multiply
   402,434x = 564,003 × 564,003
4. Step 4: Simplify right side
   402,434x = 318,099,384,009
5. Step 5: Solve for x
   x = 318,099,384,009/402,434
6. Step 6: Final answer
   x = 790,438.64