Finding the Third Proportional to 102,834 and 222,516

Step by Step Solution

1. Step 1: Write the proportion equation
   102,834 : 222,516 = 222,516 : x
2. Step 2: Convert to fraction form
   102,834/222,516 = 222,516/x
3. Step 3: Cross multiply
   102,834x = 222,516 × 222,516
4. Step 4: Simplify right side
   102,834x = 49,513,370,256
5. Step 5: Solve for x
   x = 49,513,370,256/102,834
6. Step 6: Final answer
   x = 481,488.32