Finding the Third Proportional to 86,862 and 188,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,862 : 188,668.50 = 188,668.50 : x
2. Step 2: Convert to fraction form
   86,862/188,668.50 = 188,668.50/x
3. Step 3: Cross multiply
   86,862x = 188,668.50 × 188,668.50
4. Step 4: Simplify right side
   86,862x = 35,595,802,892.25
5. Step 5: Solve for x
   x = 35,595,802,892.25/86,862
6. Step 6: Final answer
   x = 409,797.18