Finding the Third Proportional to 102,492 and 222,936

Step by Step Solution

1. Step 1: Write the proportion equation
   102,492 : 222,936 = 222,936 : x
2. Step 2: Convert to fraction form
   102,492/222,936 = 222,936/x
3. Step 3: Cross multiply
   102,492x = 222,936 × 222,936
4. Step 4: Simplify right side
   102,492x = 49,700,460,096
5. Step 5: Solve for x
   x = 49,700,460,096/102,492
6. Step 6: Final answer
   x = 484,920.38