Finding the Third Proportional to 127,500 and 269,592

Step by Step Solution

1. Step 1: Write the proportion equation
   127,500 : 269,592 = 269,592 : x
2. Step 2: Convert to fraction form
   127,500/269,592 = 269,592/x
3. Step 3: Cross multiply
   127,500x = 269,592 × 269,592
4. Step 4: Simplify right side
   127,500x = 72,679,846,464
5. Step 5: Solve for x
   x = 72,679,846,464/127,500
6. Step 6: Final answer
   x = 570,038.01