Finding the Third Proportional to 222,441 and 460,662

Step by Step Solution

1. Step 1: Write the proportion equation
   222,441 : 460,662 = 460,662 : x
2. Step 2: Convert to fraction form
   222,441/460,662 = 460,662/x
3. Step 3: Cross multiply
   222,441x = 460,662 × 460,662
4. Step 4: Simplify right side
   222,441x = 212,209,478,244
5. Step 5: Solve for x
   x = 212,209,478,244/222,441
6. Step 6: Final answer
   x = 954,003.44