Finding the Third Proportional to 302,586 and 411,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,586 : 411,145.50 = 411,145.50 : x
2. Step 2: Convert to fraction form
   302,586/411,145.50 = 411,145.50/x
3. Step 3: Cross multiply
   302,586x = 411,145.50 × 411,145.50
4. Step 4: Simplify right side
   302,586x = 169,040,622,170.25
5. Step 5: Solve for x
   x = 169,040,622,170.25/302,586
6. Step 6: Final answer
   x = 558,653.15