Finding the Third Proportional to 213,874 and 464,174

Step by Step Solution

1. Step 1: Write the proportion equation
   213,874 : 464,174 = 464,174 : x
2. Step 2: Convert to fraction form
   213,874/464,174 = 464,174/x
3. Step 3: Cross multiply
   213,874x = 464,174 × 464,174
4. Step 4: Simplify right side
   213,874x = 215,457,502,276
5. Step 5: Solve for x
   x = 215,457,502,276/213,874
6. Step 6: Final answer
   x = 1,007,403.90