Finding the Third Proportional to 51,533 and 109,816

Step by Step Solution

1. Step 1: Write the proportion equation
   51,533 : 109,816 = 109,816 : x
2. Step 2: Convert to fraction form
   51,533/109,816 = 109,816/x
3. Step 3: Cross multiply
   51,533x = 109,816 × 109,816
4. Step 4: Simplify right side
   51,533x = 12,059,553,856
5. Step 5: Solve for x
   x = 12,059,553,856/51,533
6. Step 6: Final answer
   x = 234,016.14