Finding the Third Proportional to 222,732 and 321,810

Step by Step Solution

1. Step 1: Write the proportion equation
   222,732 : 321,810 = 321,810 : x
2. Step 2: Convert to fraction form
   222,732/321,810 = 321,810/x
3. Step 3: Cross multiply
   222,732x = 321,810 × 321,810
4. Step 4: Simplify right side
   222,732x = 103,561,676,100
5. Step 5: Solve for x
   x = 103,561,676,100/222,732
6. Step 6: Final answer
   x = 464,960.92