Finding the Third Proportional to 222,748 and 321,832

Step by Step Solution

1. Step 1: Write the proportion equation
   222,748 : 321,832 = 321,832 : x
2. Step 2: Convert to fraction form
   222,748/321,832 = 321,832/x
3. Step 3: Cross multiply
   222,748x = 321,832 × 321,832
4. Step 4: Simplify right side
   222,748x = 103,575,836,224
5. Step 5: Solve for x
   x = 103,575,836,224/222,748
6. Step 6: Final answer
   x = 464,991.09