Finding the Third Proportional to 419.06 and 610.59

Step by Step Solution

1. Step 1: Write the proportion equation
   419.06 : 610.59 = 610.59 : x
2. Step 2: Convert to fraction form
   419.06/610.59 = 610.59/x
3. Step 3: Cross multiply
   419.06x = 610.59 × 610.59
4. Step 4: Simplify right side
   419.06x = 372,824.73
5. Step 5: Solve for x
   x = 372,824.73/419.06
6. Step 6: Final answer
   x = 889.66