Finding the Third Proportional to 86,052 and 186,406

Step by Step Solution

1. Step 1: Write the proportion equation
   86,052 : 186,406 = 186,406 : x
2. Step 2: Convert to fraction form
   86,052/186,406 = 186,406/x
3. Step 3: Cross multiply
   86,052x = 186,406 × 186,406
4. Step 4: Simplify right side
   86,052x = 34,747,196,836
5. Step 5: Solve for x
   x = 34,747,196,836/86,052
6. Step 6: Final answer
   x = 403,793.02