Finding the Third Proportional to 105,543 and 158,132.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,543 : 158,132.25 = 158,132.25 : x
2. Step 2: Convert to fraction form
   105,543/158,132.25 = 158,132.25/x
3. Step 3: Cross multiply
   105,543x = 158,132.25 × 158,132.25
4. Step 4: Simplify right side
   105,543x = 25,005,808,490.06
5. Step 5: Solve for x
   x = 25,005,808,490.06/105,543
6. Step 6: Final answer
   x = 236,925.31