Finding the Third Proportional to 361,920 and 532,342.50

Step by Step Solution

1. Step 1: Write the proportion equation
   361,920 : 532,342.50 = 532,342.50 : x
2. Step 2: Convert to fraction form
   361,920/532,342.50 = 532,342.50/x
3. Step 3: Cross multiply
   361,920x = 532,342.50 × 532,342.50
4. Step 4: Simplify right side
   361,920x = 283,388,537,306.25
5. Step 5: Solve for x
   x = 283,388,537,306.25/361,920
6. Step 6: Final answer
   x = 783,014.31