Finding the Third Proportional to 491,734 and 741,064

Step by Step Solution

1. Step 1: Write the proportion equation
   491,734 : 741,064 = 741,064 : x
2. Step 2: Convert to fraction form
   491,734/741,064 = 741,064/x
3. Step 3: Cross multiply
   491,734x = 741,064 × 741,064
4. Step 4: Simplify right side
   491,734x = 549,175,852,096
5. Step 5: Solve for x
   x = 549,175,852,096/491,734
6. Step 6: Final answer
   x = 1,116,814.89