Finding the Third Proportional to 94,464 and 222,336

Step by Step Solution

1. Step 1: Write the proportion equation
   94,464 : 222,336 = 222,336 : x
2. Step 2: Convert to fraction form
   94,464/222,336 = 222,336/x
3. Step 3: Cross multiply
   94,464x = 222,336 × 222,336
4. Step 4: Simplify right side
   94,464x = 49,433,296,896
5. Step 5: Solve for x
   x = 49,433,296,896/94,464
6. Step 6: Final answer
   x = 523,303.02