Finding the Third Proportional to 83,137 and 127,500

Step by Step Solution

1. Step 1: Write the proportion equation
   83,137 : 127,500 = 127,500 : x
2. Step 2: Convert to fraction form
   83,137/127,500 = 127,500/x
3. Step 3: Cross multiply
   83,137x = 127,500 × 127,500
4. Step 4: Simplify right side
   83,137x = 16,256,250,000
5. Step 5: Solve for x
   x = 16,256,250,000/83,137
6. Step 6: Final answer
   x = 195,535.68