Finding the Third Proportional to 127,824.50 and 200,080

Step by Step Solution

1. Step 1: Write the proportion equation
   127,824.50 : 200,080 = 200,080 : x
2. Step 2: Convert to fraction form
   127,824.50/200,080 = 200,080/x
3. Step 3: Cross multiply
   127,824.50x = 200,080 × 200,080
4. Step 4: Simplify right side
   127,824.50x = 40,032,006,400
5. Step 5: Solve for x
   x = 40,032,006,400/127,824.50
6. Step 6: Final answer
   x = 313,179.45