Finding the Third Proportional to 103,694 and 222,492

Step by Step Solution

1. Step 1: Write the proportion equation
   103,694 : 222,492 = 222,492 : x
2. Step 2: Convert to fraction form
   103,694/222,492 = 222,492/x
3. Step 3: Cross multiply
   103,694x = 222,492 × 222,492
4. Step 4: Simplify right side
   103,694x = 49,502,690,064
5. Step 5: Solve for x
   x = 49,502,690,064/103,694
6. Step 6: Final answer
   x = 477,392.04