Finding the Third Proportional to 123,127 and 269,607

Step by Step Solution

1. Step 1: Write the proportion equation
   123,127 : 269,607 = 269,607 : x
2. Step 2: Convert to fraction form
   123,127/269,607 = 269,607/x
3. Step 3: Cross multiply
   123,127x = 269,607 × 269,607
4. Step 4: Simplify right side
   123,127x = 72,687,934,449
5. Step 5: Solve for x
   x = 72,687,934,449/123,127
6. Step 6: Final answer
   x = 590,349.27