Finding the Third Proportional to 173,965.50 and 268,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   173,965.50 : 268,807.50 = 268,807.50 : x
2. Step 2: Convert to fraction form
   173,965.50/268,807.50 = 268,807.50/x
3. Step 3: Cross multiply
   173,965.50x = 268,807.50 × 268,807.50
4. Step 4: Simplify right side
   173,965.50x = 72,257,472,056.25
5. Step 5: Solve for x
   x = 72,257,472,056.25/173,965.50
6. Step 6: Final answer
   x = 415,355.18