Finding the Third Proportional to 272,403 and 377,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   272,403 : 377,257.50 = 377,257.50 : x
2. Step 2: Convert to fraction form
   272,403/377,257.50 = 377,257.50/x
3. Step 3: Cross multiply
   272,403x = 377,257.50 × 377,257.50
4. Step 4: Simplify right side
   272,403x = 142,323,221,306.25
5. Step 5: Solve for x
   x = 142,323,221,306.25/272,403
6. Step 6: Final answer
   x = 522,473.03