Finding the Third Proportional to 105,932 and 155,509

Step by Step Solution

1. Step 1: Write the proportion equation
   105,932 : 155,509 = 155,509 : x
2. Step 2: Convert to fraction form
   105,932/155,509 = 155,509/x
3. Step 3: Cross multiply
   105,932x = 155,509 × 155,509
4. Step 4: Simplify right side
   105,932x = 24,183,049,081
5. Step 5: Solve for x
   x = 24,183,049,081/105,932
6. Step 6: Final answer
   x = 228,288.42