Finding the Third Proportional to 51,787 and 108,802

Step by Step Solution

1. Step 1: Write the proportion equation
   51,787 : 108,802 = 108,802 : x
2. Step 2: Convert to fraction form
   51,787/108,802 = 108,802/x
3. Step 3: Cross multiply
   51,787x = 108,802 × 108,802
4. Step 4: Simplify right side
   51,787x = 11,837,875,204
5. Step 5: Solve for x
   x = 11,837,875,204/51,787
6. Step 6: Final answer
   x = 228,587.78