Finding the Third Proportional to 405.88 and 606.69

Step by Step Solution

1. Step 1: Write the proportion equation
   405.88 : 606.69 = 606.69 : x
2. Step 2: Convert to fraction form
   405.88/606.69 = 606.69/x
3. Step 3: Cross multiply
   405.88x = 606.69 × 606.69
4. Step 4: Simplify right side
   405.88x = 368,069.72
5. Step 5: Solve for x
   x = 368,069.72/405.88
6. Step 6: Final answer
   x = 906.85