Finding the Third Proportional to 402,813 and 564,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,813 : 564,664.50 = 564,664.50 : x
2. Step 2: Convert to fraction form
   402,813/564,664.50 = 564,664.50/x
3. Step 3: Cross multiply
   402,813x = 564,664.50 × 564,664.50
4. Step 4: Simplify right side
   402,813x = 318,845,997,560.25
5. Step 5: Solve for x
   x = 318,845,997,560.25/402,813
6. Step 6: Final answer
   x = 791,548.43