Finding the Third Proportional to 49,664 and 108,084

Step by Step Solution

1. Step 1: Write the proportion equation
   49,664 : 108,084 = 108,084 : x
2. Step 2: Convert to fraction form
   49,664/108,084 = 108,084/x
3. Step 3: Cross multiply
   49,664x = 108,084 × 108,084
4. Step 4: Simplify right side
   49,664x = 11,682,151,056
5. Step 5: Solve for x
   x = 11,682,151,056/49,664
6. Step 6: Final answer
   x = 235,223.72