Finding the Third Proportional to 86,666 and 186,267.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,666 : 186,267.50 = 186,267.50 : x
2. Step 2: Convert to fraction form
   86,666/186,267.50 = 186,267.50/x
3. Step 3: Cross multiply
   86,666x = 186,267.50 × 186,267.50
4. Step 4: Simplify right side
   86,666x = 34,695,581,556.25
5. Step 5: Solve for x
   x = 34,695,581,556.25/86,666
6. Step 6: Final answer
   x = 400,336.71