Finding the Third Proportional to 103,478 and 222,808

Step by Step Solution

1. Step 1: Write the proportion equation
   103,478 : 222,808 = 222,808 : x
2. Step 2: Convert to fraction form
   103,478/222,808 = 222,808/x
3. Step 3: Cross multiply
   103,478x = 222,808 × 222,808
4. Step 4: Simplify right side
   103,478x = 49,643,404,864
5. Step 5: Solve for x
   x = 49,643,404,864/103,478
6. Step 6: Final answer
   x = 479,748.40