Finding the Third Proportional to 88,002 and 189,686

Step by Step Solution

1. Step 1: Write the proportion equation
   88,002 : 189,686 = 189,686 : x
2. Step 2: Convert to fraction form
   88,002/189,686 = 189,686/x
3. Step 3: Cross multiply
   88,002x = 189,686 × 189,686
4. Step 4: Simplify right side
   88,002x = 35,980,778,596
5. Step 5: Solve for x
   x = 35,980,778,596/88,002
6. Step 6: Final answer
   x = 408,863.19