Finding the Third Proportional to 127,957.50 and 200,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,957.50 : 200,272.50 = 200,272.50 : x
2. Step 2: Convert to fraction form
   127,957.50/200,272.50 = 200,272.50/x
3. Step 3: Cross multiply
   127,957.50x = 200,272.50 × 200,272.50
4. Step 4: Simplify right side
   127,957.50x = 40,109,074,256.25
5. Step 5: Solve for x
   x = 40,109,074,256.25/127,957.50
6. Step 6: Final answer
   x = 313,456.22