Finding the Third Proportional to 291,219 and 447,002

Step by Step Solution

1. Step 1: Write the proportion equation
   291,219 : 447,002 = 447,002 : x
2. Step 2: Convert to fraction form
   291,219/447,002 = 447,002/x
3. Step 3: Cross multiply
   291,219x = 447,002 × 447,002
4. Step 4: Simplify right side
   291,219x = 199,810,788,004
5. Step 5: Solve for x
   x = 199,810,788,004/291,219
6. Step 6: Final answer
   x = 686,118.65