Finding the Third Proportional to 291,769 and 443,649

Step by Step Solution

1. Step 1: Write the proportion equation
   291,769 : 443,649 = 443,649 : x
2. Step 2: Convert to fraction form
   291,769/443,649 = 443,649/x
3. Step 3: Cross multiply
   291,769x = 443,649 × 443,649
4. Step 4: Simplify right side
   291,769x = 196,824,435,201
5. Step 5: Solve for x
   x = 196,824,435,201/291,769
6. Step 6: Final answer
   x = 674,589.95