Finding the Third Proportional to 222,174 and 317,484

Step by Step Solution

1. Step 1: Write the proportion equation
   222,174 : 317,484 = 317,484 : x
2. Step 2: Convert to fraction form
   222,174/317,484 = 317,484/x
3. Step 3: Cross multiply
   222,174x = 317,484 × 317,484
4. Step 4: Simplify right side
   222,174x = 100,796,090,256
5. Step 5: Solve for x
   x = 100,796,090,256/222,174
6. Step 6: Final answer
   x = 453,680.85