Finding the Third Proportional to 86,500 and 185,932

Step by Step Solution

1. Step 1: Write the proportion equation
   86,500 : 185,932 = 185,932 : x
2. Step 2: Convert to fraction form
   86,500/185,932 = 185,932/x
3. Step 3: Cross multiply
   86,500x = 185,932 × 185,932
4. Step 4: Simplify right side
   86,500x = 34,570,708,624
5. Step 5: Solve for x
   x = 34,570,708,624/86,500
6. Step 6: Final answer
   x = 399,661.37