Finding the Third Proportional to 127,759.50 and 186,095.25

Step by Step Solution

1. Step 1: Write the proportion equation
   127,759.50 : 186,095.25 = 186,095.25 : x
2. Step 2: Convert to fraction form
   127,759.50/186,095.25 = 186,095.25/x
3. Step 3: Cross multiply
   127,759.50x = 186,095.25 × 186,095.25
4. Step 4: Simplify right side
   127,759.50x = 34,631,442,072.56
5. Step 5: Solve for x
   x = 34,631,442,072.56/127,759.50
6. Step 6: Final answer
   x = 271,067.45