Finding the Third Proportional to 103,683 and 222,470

Step by Step Solution

1. Step 1: Write the proportion equation
   103,683 : 222,470 = 222,470 : x
2. Step 2: Convert to fraction form
   103,683/222,470 = 222,470/x
3. Step 3: Cross multiply
   103,683x = 222,470 × 222,470
4. Step 4: Simplify right side
   103,683x = 49,492,900,900
5. Step 5: Solve for x
   x = 49,492,900,900/103,683
6. Step 6: Final answer
   x = 477,348.27