Finding the Third Proportional to 49,646 and 108,216

Step by Step Solution

1. Step 1: Write the proportion equation
   49,646 : 108,216 = 108,216 : x
2. Step 2: Convert to fraction form
   49,646/108,216 = 108,216/x
3. Step 3: Cross multiply
   49,646x = 108,216 × 108,216
4. Step 4: Simplify right side
   49,646x = 11,710,702,656
5. Step 5: Solve for x
   x = 11,710,702,656/49,646
6. Step 6: Final answer
   x = 235,884.11