Finding the Third Proportional to 49,764 and 108,840

Step by Step Solution

1. Step 1: Write the proportion equation
   49,764 : 108,840 = 108,840 : x
2. Step 2: Convert to fraction form
   49,764/108,840 = 108,840/x
3. Step 3: Cross multiply
   49,764x = 108,840 × 108,840
4. Step 4: Simplify right side
   49,764x = 11,846,145,600
5. Step 5: Solve for x
   x = 11,846,145,600/49,764
6. Step 6: Final answer
   x = 238,046.49