Finding the Third Proportional to 105,576.75 and 155,565

Step by Step Solution

1. Step 1: Write the proportion equation
   105,576.75 : 155,565 = 155,565 : x
2. Step 2: Convert to fraction form
   105,576.75/155,565 = 155,565/x
3. Step 3: Cross multiply
   105,576.75x = 155,565 × 155,565
4. Step 4: Simplify right side
   105,576.75x = 24,200,469,225
5. Step 5: Solve for x
   x = 24,200,469,225/105,576.75
6. Step 6: Final answer
   x = 229,221.58