Finding the Third Proportional to 219,720 and 333,792

Step by Step Solution

1. Step 1: Write the proportion equation
   219,720 : 333,792 = 333,792 : x
2. Step 2: Convert to fraction form
   219,720/333,792 = 333,792/x
3. Step 3: Cross multiply
   219,720x = 333,792 × 333,792
4. Step 4: Simplify right side
   219,720x = 111,417,099,264
5. Step 5: Solve for x
   x = 111,417,099,264/219,720
6. Step 6: Final answer
   x = 507,086.74