Finding the Third Proportional to 222,822 and 460,404

Step by Step Solution

1. Step 1: Write the proportion equation
   222,822 : 460,404 = 460,404 : x
2. Step 2: Convert to fraction form
   222,822/460,404 = 460,404/x
3. Step 3: Cross multiply
   222,822x = 460,404 × 460,404
4. Step 4: Simplify right side
   222,822x = 211,971,843,216
5. Step 5: Solve for x
   x = 211,971,843,216/222,822
6. Step 6: Final answer
   x = 951,305.72