Finding the Third Proportional to 49,875 and 109,289

Step by Step Solution

1. Step 1: Write the proportion equation
   49,875 : 109,289 = 109,289 : x
2. Step 2: Convert to fraction form
   49,875/109,289 = 109,289/x
3. Step 3: Cross multiply
   49,875x = 109,289 × 109,289
4. Step 4: Simplify right side
   49,875x = 11,944,085,521
5. Step 5: Solve for x
   x = 11,944,085,521/49,875
6. Step 6: Final answer
   x = 239,480.41