Finding the Third Proportional to 216,828 and 333,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   216,828 : 333,697.50 = 333,697.50 : x
2. Step 2: Convert to fraction form
   216,828/333,697.50 = 333,697.50/x
3. Step 3: Cross multiply
   216,828x = 333,697.50 × 333,697.50
4. Step 4: Simplify right side
   216,828x = 111,354,021,506.25
5. Step 5: Solve for x
   x = 111,354,021,506.25/216,828
6. Step 6: Final answer
   x = 513,559.23