Finding the Third Proportional to 368,920 and 564,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   368,920 : 564,085.50 = 564,085.50 : x
2. Step 2: Convert to fraction form
   368,920/564,085.50 = 564,085.50/x
3. Step 3: Cross multiply
   368,920x = 564,085.50 × 564,085.50
4. Step 4: Simplify right side
   368,920x = 318,192,451,310.25
5. Step 5: Solve for x
   x = 318,192,451,310.25/368,920
6. Step 6: Final answer
   x = 862,497.16