Finding the Third Proportional to 62,269.50 and 128,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   62,269.50 : 128,971.50 = 128,971.50 : x
2. Step 2: Convert to fraction form
   62,269.50/128,971.50 = 128,971.50/x
3. Step 3: Cross multiply
   62,269.50x = 128,971.50 × 128,971.50
4. Step 4: Simplify right side
   62,269.50x = 16,633,647,812.25
5. Step 5: Solve for x
   x = 16,633,647,812.25/62,269.50
6. Step 6: Final answer
   x = 267,123.52