Finding the Third Proportional to 137,782.50 and 195,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,782.50 : 195,016.50 = 195,016.50 : x
2. Step 2: Convert to fraction form
   137,782.50/195,016.50 = 195,016.50/x
3. Step 3: Cross multiply
   137,782.50x = 195,016.50 × 195,016.50
4. Step 4: Simplify right side
   137,782.50x = 38,031,435,272.25
5. Step 5: Solve for x
   x = 38,031,435,272.25/137,782.50
6. Step 6: Final answer
   x = 276,025.15