Finding the Third Proportional to 127,872 and 269,002.69

Step by Step Solution

1. Step 1: Write the proportion equation
   127,872 : 269,002.69 = 269,002.69 : x
2. Step 2: Convert to fraction form
   127,872/269,002.69 = 269,002.69/x
3. Step 3: Cross multiply
   127,872x = 269,002.69 × 269,002.69
4. Step 4: Simplify right side
   127,872x = 72,362,445,882.22
5. Step 5: Solve for x
   x = 72,362,445,882.22/127,872
6. Step 6: Final answer
   x = 565,897.51