Finding the Third Proportional to 493.88 and 699.05

Step by Step Solution

1. Step 1: Write the proportion equation
   493.88 : 699.05 = 699.05 : x
2. Step 2: Convert to fraction form
   493.88/699.05 = 699.05/x
3. Step 3: Cross multiply
   493.88x = 699.05 × 699.05
4. Step 4: Simplify right side
   493.88x = 488,666.53
5. Step 5: Solve for x
   x = 488,666.53/493.88
6. Step 6: Final answer
   x = 989.45