Finding the Third Proportional to 49,320 and 108,462

Step by Step Solution

1. Step 1: Write the proportion equation
   49,320 : 108,462 = 108,462 : x
2. Step 2: Convert to fraction form
   49,320/108,462 = 108,462/x
3. Step 3: Cross multiply
   49,320x = 108,462 × 108,462
4. Step 4: Simplify right side
   49,320x = 11,764,005,444
5. Step 5: Solve for x
   x = 11,764,005,444/49,320
6. Step 6: Final answer
   x = 238,524.04