Finding the Third Proportional to 105,541 and 155,520.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,541 : 155,520.50 = 155,520.50 : x
2. Step 2: Convert to fraction form
   105,541/155,520.50 = 155,520.50/x
3. Step 3: Cross multiply
   105,541x = 155,520.50 × 155,520.50
4. Step 4: Simplify right side
   105,541x = 24,186,625,920.25
5. Step 5: Solve for x
   x = 24,186,625,920.25/105,541
6. Step 6: Final answer
   x = 229,168.06