Finding the Third Proportional to 216,562 and 333,295.50

Step by Step Solution

1. Step 1: Write the proportion equation
   216,562 : 333,295.50 = 333,295.50 : x
2. Step 2: Convert to fraction form
   216,562/333,295.50 = 333,295.50/x
3. Step 3: Cross multiply
   216,562x = 333,295.50 × 333,295.50
4. Step 4: Simplify right side
   216,562x = 111,085,890,320.25
5. Step 5: Solve for x
   x = 111,085,890,320.25/216,562
6. Step 6: Final answer
   x = 512,951.90