Finding the Third Proportional to 216,561 and 333,294

Step by Step Solution

1. Step 1: Write the proportion equation
   216,561 : 333,294 = 333,294 : x
2. Step 2: Convert to fraction form
   216,561/333,294 = 333,294/x
3. Step 3: Cross multiply
   216,561x = 333,294 × 333,294
4. Step 4: Simplify right side
   216,561x = 111,084,890,436
5. Step 5: Solve for x
   x = 111,084,890,436/216,561
6. Step 6: Final answer
   x = 512,949.66