Finding the Third Proportional to 127,662 and 202,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,662 : 202,053.50 = 202,053.50 : x
2. Step 2: Convert to fraction form
   127,662/202,053.50 = 202,053.50/x
3. Step 3: Cross multiply
   127,662x = 202,053.50 × 202,053.50
4. Step 4: Simplify right side
   127,662x = 40,825,616,862.25
5. Step 5: Solve for x
   x = 40,825,616,862.25/127,662
6. Step 6: Final answer
   x = 319,794.59