Finding the Third Proportional to 301,086 and 412,861.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,086 : 412,861.50 = 412,861.50 : x
2. Step 2: Convert to fraction form
   301,086/412,861.50 = 412,861.50/x
3. Step 3: Cross multiply
   301,086x = 412,861.50 × 412,861.50
4. Step 4: Simplify right side
   301,086x = 170,454,618,182.25
5. Step 5: Solve for x
   x = 170,454,618,182.25/301,086
6. Step 6: Final answer
   x = 566,132.66