Finding the Third Proportional to 49,546.50 and 108,934.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,546.50 : 108,934.50 = 108,934.50 : x
2. Step 2: Convert to fraction form
   49,546.50/108,934.50 = 108,934.50/x
3. Step 3: Cross multiply
   49,546.50x = 108,934.50 × 108,934.50
4. Step 4: Simplify right side
   49,546.50x = 11,866,725,290.25
5. Step 5: Solve for x
   x = 11,866,725,290.25/49,546.50
6. Step 6: Final answer
   x = 239,506.83