Finding the Third Proportional to 127,338 and 262,746

Step by Step Solution

1. Step 1: Write the proportion equation
   127,338 : 262,746 = 262,746 : x
2. Step 2: Convert to fraction form
   127,338/262,746 = 262,746/x
3. Step 3: Cross multiply
   127,338x = 262,746 × 262,746
4. Step 4: Simplify right side
   127,338x = 69,035,460,516
5. Step 5: Solve for x
   x = 69,035,460,516/127,338
6. Step 6: Final answer
   x = 542,143.43