Finding the Third Proportional to 72,572.50 and 109,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,572.50 : 109,952.50 = 109,952.50 : x
2. Step 2: Convert to fraction form
   72,572.50/109,952.50 = 109,952.50/x
3. Step 3: Cross multiply
   72,572.50x = 109,952.50 × 109,952.50
4. Step 4: Simplify right side
   72,572.50x = 12,089,552,256.25
5. Step 5: Solve for x
   x = 12,089,552,256.25/72,572.50
6. Step 6: Final answer
   x = 166,585.86