Finding the Third Proportional to 127,919.25 and 195,790.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,919.25 : 195,790.50 = 195,790.50 : x
2. Step 2: Convert to fraction form
   127,919.25/195,790.50 = 195,790.50/x
3. Step 3: Cross multiply
   127,919.25x = 195,790.50 × 195,790.50
4. Step 4: Simplify right side
   127,919.25x = 38,333,919,890.25
5. Step 5: Solve for x
   x = 38,333,919,890.25/127,919.25
6. Step 6: Final answer
   x = 299,672.80