Finding the Third Proportional to 291,656 and 417,064

Step by Step Solution

1. Step 1: Write the proportion equation
   291,656 : 417,064 = 417,064 : x
2. Step 2: Convert to fraction form
   291,656/417,064 = 417,064/x
3. Step 3: Cross multiply
   291,656x = 417,064 × 417,064
4. Step 4: Simplify right side
   291,656x = 173,942,380,096
5. Step 5: Solve for x
   x = 173,942,380,096/291,656
6. Step 6: Final answer
   x = 596,395.69