Finding the Third Proportional to 100,266 and 222,947

Step by Step Solution

1. Step 1: Write the proportion equation
   100,266 : 222,947 = 222,947 : x
2. Step 2: Convert to fraction form
   100,266/222,947 = 222,947/x
3. Step 3: Cross multiply
   100,266x = 222,947 × 222,947
4. Step 4: Simplify right side
   100,266x = 49,705,364,809
5. Step 5: Solve for x
   x = 49,705,364,809/100,266
6. Step 6: Final answer
   x = 495,734.99