Finding the Third Proportional to 217,306 and 332,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   217,306 : 332,443.50 = 332,443.50 : x
2. Step 2: Convert to fraction form
   217,306/332,443.50 = 332,443.50/x
3. Step 3: Cross multiply
   217,306x = 332,443.50 × 332,443.50
4. Step 4: Simplify right side
   217,306x = 110,518,680,692.25
5. Step 5: Solve for x
   x = 110,518,680,692.25/217,306
6. Step 6: Final answer
   x = 508,585.50