Finding the Third Proportional to 49,616 and 108,867

Step by Step Solution

1. Step 1: Write the proportion equation
   49,616 : 108,867 = 108,867 : x
2. Step 2: Convert to fraction form
   49,616/108,867 = 108,867/x
3. Step 3: Cross multiply
   49,616x = 108,867 × 108,867
4. Step 4: Simplify right side
   49,616x = 11,852,023,689
5. Step 5: Solve for x
   x = 11,852,023,689/49,616
6. Step 6: Final answer
   x = 238,875.03