Finding the Third Proportional to 95,728.50 and 137,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,728.50 : 137,020.50 = 137,020.50 : x
2. Step 2: Convert to fraction form
   95,728.50/137,020.50 = 137,020.50/x
3. Step 3: Cross multiply
   95,728.50x = 137,020.50 × 137,020.50
4. Step 4: Simplify right side
   95,728.50x = 18,774,617,420.25
5. Step 5: Solve for x
   x = 18,774,617,420.25/95,728.50
6. Step 6: Final answer
   x = 196,123.59