Finding the Third Proportional to 309.94 and 463.78

Step by Step Solution

1. Step 1: Write the proportion equation
   309.94 : 463.78 = 463.78 : x
2. Step 2: Convert to fraction form
   309.94/463.78 = 463.78/x
3. Step 3: Cross multiply
   309.94x = 463.78 × 463.78
4. Step 4: Simplify right side
   309.94x = 215,093.05
5. Step 5: Solve for x
   x = 215,093.05/309.94
6. Step 6: Final answer
   x = 693.99