Finding the Third Proportional to 49,644 and 108,212

Step by Step Solution

1. Step 1: Write the proportion equation
   49,644 : 108,212 = 108,212 : x
2. Step 2: Convert to fraction form
   49,644/108,212 = 108,212/x
3. Step 3: Cross multiply
   49,644x = 108,212 × 108,212
4. Step 4: Simplify right side
   49,644x = 11,709,836,944
5. Step 5: Solve for x
   x = 11,709,836,944/49,644
6. Step 6: Final answer
   x = 235,876.18