Finding the Third Proportional to 222,720 and 321,792

Step by Step Solution

1. Step 1: Write the proportion equation
   222,720 : 321,792 = 321,792 : x
2. Step 2: Convert to fraction form
   222,720/321,792 = 321,792/x
3. Step 3: Cross multiply
   222,720x = 321,792 × 321,792
4. Step 4: Simplify right side
   222,720x = 103,550,091,264
5. Step 5: Solve for x
   x = 103,550,091,264/222,720
6. Step 6: Final answer
   x = 464,933.96