Finding the Third Proportional to 49,916 and 108,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,916 : 108,458.50 = 108,458.50 : x
2. Step 2: Convert to fraction form
   49,916/108,458.50 = 108,458.50/x
3. Step 3: Cross multiply
   49,916x = 108,458.50 × 108,458.50
4. Step 4: Simplify right side
   49,916x = 11,763,246,222.25
5. Step 5: Solve for x
   x = 11,763,246,222.25/49,916
6. Step 6: Final answer
   x = 235,660.83