Finding the Third Proportional to 416.47 and 611.89

Step by Step Solution

1. Step 1: Write the proportion equation
   416.47 : 611.89 = 611.89 : x
2. Step 2: Convert to fraction form
   416.47/611.89 = 611.89/x
3. Step 3: Cross multiply
   416.47x = 611.89 × 611.89
4. Step 4: Simplify right side
   416.47x = 374,409.54
5. Step 5: Solve for x
   x = 374,409.54/416.47
6. Step 6: Final answer
   x = 899.01