Finding the Third Proportional to 86,499 and 186,336

Step by Step Solution

1. Step 1: Write the proportion equation
   86,499 : 186,336 = 186,336 : x
2. Step 2: Convert to fraction form
   86,499/186,336 = 186,336/x
3. Step 3: Cross multiply
   86,499x = 186,336 × 186,336
4. Step 4: Simplify right side
   86,499x = 34,721,104,896
5. Step 5: Solve for x
   x = 34,721,104,896/86,499
6. Step 6: Final answer
   x = 401,404.70