Finding the Third Proportional to 86,494.50 and 185,922

Step by Step Solution

1. Step 1: Write the proportion equation
   86,494.50 : 185,922 = 185,922 : x
2. Step 2: Convert to fraction form
   86,494.50/185,922 = 185,922/x
3. Step 3: Cross multiply
   86,494.50x = 185,922 × 185,922
4. Step 4: Simplify right side
   86,494.50x = 34,566,990,084
5. Step 5: Solve for x
   x = 34,566,990,084/86,494.50
6. Step 6: Final answer
   x = 399,643.79