Finding the Third Proportional to 291,414 and 443,167

Step by Step Solution

1. Step 1: Write the proportion equation
   291,414 : 443,167 = 443,167 : x
2. Step 2: Convert to fraction form
   291,414/443,167 = 443,167/x
3. Step 3: Cross multiply
   291,414x = 443,167 × 443,167
4. Step 4: Simplify right side
   291,414x = 196,396,989,889
5. Step 5: Solve for x
   x = 196,396,989,889/291,414
6. Step 6: Final answer
   x = 673,944.94