Finding the Third Proportional to 49,878 and 109,596

Step by Step Solution

1. Step 1: Write the proportion equation
   49,878 : 109,596 = 109,596 : x
2. Step 2: Convert to fraction form
   49,878/109,596 = 109,596/x
3. Step 3: Cross multiply
   49,878x = 109,596 × 109,596
4. Step 4: Simplify right side
   49,878x = 12,011,283,216
5. Step 5: Solve for x
   x = 12,011,283,216/49,878
6. Step 6: Final answer
   x = 240,813.25