Finding the Third Proportional to 53,306 and 123,418

Step by Step Solution

1. Step 1: Write the proportion equation
   53,306 : 123,418 = 123,418 : x
2. Step 2: Convert to fraction form
   53,306/123,418 = 123,418/x
3. Step 3: Cross multiply
   53,306x = 123,418 × 123,418
4. Step 4: Simplify right side
   53,306x = 15,232,002,724
5. Step 5: Solve for x
   x = 15,232,002,724/53,306
6. Step 6: Final answer
   x = 285,746.50