Finding the Third Proportional to 105,542 and 155,522

Step by Step Solution

1. Step 1: Write the proportion equation
   105,542 : 155,522 = 155,522 : x
2. Step 2: Convert to fraction form
   105,542/155,522 = 155,522/x
3. Step 3: Cross multiply
   105,542x = 155,522 × 155,522
4. Step 4: Simplify right side
   105,542x = 24,187,092,484
5. Step 5: Solve for x
   x = 24,187,092,484/105,542
6. Step 6: Final answer
   x = 229,170.31