Finding the Third Proportional to 127,334 and 261,040

Step by Step Solution

1. Step 1: Write the proportion equation
   127,334 : 261,040 = 261,040 : x
2. Step 2: Convert to fraction form
   127,334/261,040 = 261,040/x
3. Step 3: Cross multiply
   127,334x = 261,040 × 261,040
4. Step 4: Simplify right side
   127,334x = 68,141,881,600
5. Step 5: Solve for x
   x = 68,141,881,600/127,334
6. Step 6: Final answer
   x = 535,142.87