Finding the Third Proportional to 145,566 and 318,286.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,566 : 318,286.50 = 318,286.50 : x
2. Step 2: Convert to fraction form
   145,566/318,286.50 = 318,286.50/x
3. Step 3: Cross multiply
   145,566x = 318,286.50 × 318,286.50
4. Step 4: Simplify right side
   145,566x = 101,306,296,082.25
5. Step 5: Solve for x
   x = 101,306,296,082.25/145,566
6. Step 6: Final answer
   x = 695,947.52