Finding the Third Proportional to 216,784 and 333,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   216,784 : 333,628.50 = 333,628.50 : x
2. Step 2: Convert to fraction form
   216,784/333,628.50 = 333,628.50/x
3. Step 3: Cross multiply
   216,784x = 333,628.50 × 333,628.50
4. Step 4: Simplify right side
   216,784x = 111,307,976,012.25
5. Step 5: Solve for x
   x = 111,307,976,012.25/216,784
6. Step 6: Final answer
   x = 513,451.07