Finding the Third Proportional to 51,137 and 109,864

Step by Step Solution

1. Step 1: Write the proportion equation
   51,137 : 109,864 = 109,864 : x
2. Step 2: Convert to fraction form
   51,137/109,864 = 109,864/x
3. Step 3: Cross multiply
   51,137x = 109,864 × 109,864
4. Step 4: Simplify right side
   51,137x = 12,070,098,496
5. Step 5: Solve for x
   x = 12,070,098,496/51,137
6. Step 6: Final answer
   x = 236,034.54