Finding the Third Proportional to 407.94 and 615.69

Step by Step Solution

1. Step 1: Write the proportion equation
   407.94 : 615.69 = 615.69 : x
2. Step 2: Convert to fraction form
   407.94/615.69 = 615.69/x
3. Step 3: Cross multiply
   407.94x = 615.69 × 615.69
4. Step 4: Simplify right side
   407.94x = 379,071.10
5. Step 5: Solve for x
   x = 379,071.10/407.94
6. Step 6: Final answer
   x = 929.24