Finding the Third Proportional to 127,544.50 and 187,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,544.50 : 187,419.50 = 187,419.50 : x
2. Step 2: Convert to fraction form
   127,544.50/187,419.50 = 187,419.50/x
3. Step 3: Cross multiply
   127,544.50x = 187,419.50 × 187,419.50
4. Step 4: Simplify right side
   127,544.50x = 35,126,068,980.25
5. Step 5: Solve for x
   x = 35,126,068,980.25/127,544.50
6. Step 6: Final answer
   x = 275,402.46