Finding the Third Proportional to 49,410 and 108,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,410 : 108,046.50 = 108,046.50 : x
2. Step 2: Convert to fraction form
   49,410/108,046.50 = 108,046.50/x
3. Step 3: Cross multiply
   49,410x = 108,046.50 × 108,046.50
4. Step 4: Simplify right side
   49,410x = 11,674,046,162.25
5. Step 5: Solve for x
   x = 11,674,046,162.25/49,410
6. Step 6: Final answer
   x = 236,268.90