Finding the Third Proportional to 216,584 and 333,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   216,584 : 333,333.50 = 333,333.50 : x
2. Step 2: Convert to fraction form
   216,584/333,333.50 = 333,333.50/x
3. Step 3: Cross multiply
   216,584x = 333,333.50 × 333,333.50
4. Step 4: Simplify right side
   216,584x = 111,111,222,222.25
5. Step 5: Solve for x
   x = 111,111,222,222.25/216,584
6. Step 6: Final answer
   x = 513,016.76