Finding the Third Proportional to 117,543 and 171,391.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,543 : 171,391.50 = 171,391.50 : x
2. Step 2: Convert to fraction form
   117,543/171,391.50 = 171,391.50/x
3. Step 3: Cross multiply
   117,543x = 171,391.50 × 171,391.50
4. Step 4: Simplify right side
   117,543x = 29,375,046,272.25
5. Step 5: Solve for x
   x = 29,375,046,272.25/117,543
6. Step 6: Final answer
   x = 249,908.94