Finding the Third Proportional to 127,982.25 and 188,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,982.25 : 188,689.50 = 188,689.50 : x
2. Step 2: Convert to fraction form
   127,982.25/188,689.50 = 188,689.50/x
3. Step 3: Cross multiply
   127,982.25x = 188,689.50 × 188,689.50
4. Step 4: Simplify right side
   127,982.25x = 35,603,727,410.25
5. Step 5: Solve for x
   x = 35,603,727,410.25/127,982.25
6. Step 6: Final answer
   x = 278,192.70