Finding the Third Proportional to 86,668 and 186,271.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,668 : 186,271.50 = 186,271.50 : x
2. Step 2: Convert to fraction form
   86,668/186,271.50 = 186,271.50/x
3. Step 3: Cross multiply
   86,668x = 186,271.50 × 186,271.50
4. Step 4: Simplify right side
   86,668x = 34,697,071,712.25
5. Step 5: Solve for x
   x = 34,697,071,712.25/86,668
6. Step 6: Final answer
   x = 400,344.67