Finding the Third Proportional to 217,814 and 467,142

Step by Step Solution

1. Step 1: Write the proportion equation
   217,814 : 467,142 = 467,142 : x
2. Step 2: Convert to fraction form
   217,814/467,142 = 467,142/x
3. Step 3: Cross multiply
   217,814x = 467,142 × 467,142
4. Step 4: Simplify right side
   217,814x = 218,221,648,164
5. Step 5: Solve for x
   x = 218,221,648,164/217,814
6. Step 6: Final answer
   x = 1,001,871.54