Finding the Third Proportional to 105,276 and 222,380

Step by Step Solution

1. Step 1: Write the proportion equation
   105,276 : 222,380 = 222,380 : x
2. Step 2: Convert to fraction form
   105,276/222,380 = 222,380/x
3. Step 3: Cross multiply
   105,276x = 222,380 × 222,380
4. Step 4: Simplify right side
   105,276x = 49,452,864,400
5. Step 5: Solve for x
   x = 49,452,864,400/105,276
6. Step 6: Final answer
   x = 469,744.90