Finding the Third Proportional to 291,226 and 447,012

Step by Step Solution

1. Step 1: Write the proportion equation
   291,226 : 447,012 = 447,012 : x
2. Step 2: Convert to fraction form
   291,226/447,012 = 447,012/x
3. Step 3: Cross multiply
   291,226x = 447,012 × 447,012
4. Step 4: Simplify right side
   291,226x = 199,819,728,144
5. Step 5: Solve for x
   x = 199,819,728,144/291,226
6. Step 6: Final answer
   x = 686,132.86