Finding the Third Proportional to 55,685 and 86,162

Step by Step Solution

1. Step 1: Write the proportion equation
   55,685 : 86,162 = 86,162 : x
2. Step 2: Convert to fraction form
   55,685/86,162 = 86,162/x
3. Step 3: Cross multiply
   55,685x = 86,162 × 86,162
4. Step 4: Simplify right side
   55,685x = 7,423,890,244
5. Step 5: Solve for x
   x = 7,423,890,244/55,685
6. Step 6: Final answer
   x = 133,319.39