Finding the Third Proportional to 127,125.50 and 186,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,125.50 : 186,139.50 = 186,139.50 : x
2. Step 2: Convert to fraction form
   127,125.50/186,139.50 = 186,139.50/x
3. Step 3: Cross multiply
   127,125.50x = 186,139.50 × 186,139.50
4. Step 4: Simplify right side
   127,125.50x = 34,647,913,460.25
5. Step 5: Solve for x
   x = 34,647,913,460.25/127,125.50
6. Step 6: Final answer
   x = 272,548.89