Finding the Third Proportional to 105,741 and 155,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,741 : 155,686.50 = 155,686.50 : x
2. Step 2: Convert to fraction form
   105,741/155,686.50 = 155,686.50/x
3. Step 3: Cross multiply
   105,741x = 155,686.50 × 155,686.50
4. Step 4: Simplify right side
   105,741x = 24,238,286,282.25
5. Step 5: Solve for x
   x = 24,238,286,282.25/105,741
6. Step 6: Final answer
   x = 229,223.16