Finding the Third Proportional to 378,594 and 564,610.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,594 : 564,610.50 = 564,610.50 : x
2. Step 2: Convert to fraction form
   378,594/564,610.50 = 564,610.50/x
3. Step 3: Cross multiply
   378,594x = 564,610.50 × 564,610.50
4. Step 4: Simplify right side
   378,594x = 318,785,016,710.25
5. Step 5: Solve for x
   x = 318,785,016,710.25/378,594
6. Step 6: Final answer
   x = 842,023.43