Finding the Third Proportional to 368,946 and 564,124.50

Step by Step Solution

1. Step 1: Write the proportion equation
   368,946 : 564,124.50 = 564,124.50 : x
2. Step 2: Convert to fraction form
   368,946/564,124.50 = 564,124.50/x
3. Step 3: Cross multiply
   368,946x = 564,124.50 × 564,124.50
4. Step 4: Simplify right side
   368,946x = 318,236,451,500.25
5. Step 5: Solve for x
   x = 318,236,451,500.25/368,946
6. Step 6: Final answer
   x = 862,555.64