Finding the Third Proportional to 216,586 and 333,338

Step by Step Solution

1. Step 1: Write the proportion equation
   216,586 : 333,338 = 333,338 : x
2. Step 2: Convert to fraction form
   216,586/333,338 = 333,338/x
3. Step 3: Cross multiply
   216,586x = 333,338 × 333,338
4. Step 4: Simplify right side
   216,586x = 111,114,222,244
5. Step 5: Solve for x
   x = 111,114,222,244/216,586
6. Step 6: Final answer
   x = 513,025.88