Finding the Third Proportional to 127,609.50 and 195,875.25

Step by Step Solution

1. Step 1: Write the proportion equation
   127,609.50 : 195,875.25 = 195,875.25 : x
2. Step 2: Convert to fraction form
   127,609.50/195,875.25 = 195,875.25/x
3. Step 3: Cross multiply
   127,609.50x = 195,875.25 × 195,875.25
4. Step 4: Simplify right side
   127,609.50x = 38,367,113,562.56
5. Step 5: Solve for x
   x = 38,367,113,562.56/127,609.50
6. Step 6: Final answer
   x = 300,660.32