Finding the Third Proportional to 86,499 and 186,093

Step by Step Solution

1. Step 1: Write the proportion equation
   86,499 : 186,093 = 186,093 : x
2. Step 2: Convert to fraction form
   86,499/186,093 = 186,093/x
3. Step 3: Cross multiply
   86,499x = 186,093 × 186,093
4. Step 4: Simplify right side
   86,499x = 34,630,604,649
5. Step 5: Solve for x
   x = 34,630,604,649/86,499
6. Step 6: Final answer
   x = 400,358.44