Finding the Third Proportional to 222,274 and 317,624

Step by Step Solution

1. Step 1: Write the proportion equation
   222,274 : 317,624 = 317,624 : x
2. Step 2: Convert to fraction form
   222,274/317,624 = 317,624/x
3. Step 3: Cross multiply
   222,274x = 317,624 × 317,624
4. Step 4: Simplify right side
   222,274x = 100,885,005,376
5. Step 5: Solve for x
   x = 100,885,005,376/222,274
6. Step 6: Final answer
   x = 453,876.77