Finding the Third Proportional to 49,351 and 108,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,351 : 108,543.50 = 108,543.50 : x
2. Step 2: Convert to fraction form
   49,351/108,543.50 = 108,543.50/x
3. Step 3: Cross multiply
   49,351x = 108,543.50 × 108,543.50
4. Step 4: Simplify right side
   49,351x = 11,781,691,392.25
5. Step 5: Solve for x
   x = 11,781,691,392.25/49,351
6. Step 6: Final answer
   x = 238,732.58