Finding the Third Proportional to 216,807 and 333,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   216,807 : 333,658.50 = 333,658.50 : x
2. Step 2: Convert to fraction form
   216,807/333,658.50 = 333,658.50/x
3. Step 3: Cross multiply
   216,807x = 333,658.50 × 333,658.50
4. Step 4: Simplify right side
   216,807x = 111,327,994,622.25
5. Step 5: Solve for x
   x = 111,327,994,622.25/216,807
6. Step 6: Final answer
   x = 513,488.93