Finding the Third Proportional to 524.81 and 699.89

Step by Step Solution

1. Step 1: Write the proportion equation
   524.81 : 699.89 = 699.89 : x
2. Step 2: Convert to fraction form
   524.81/699.89 = 699.89/x
3. Step 3: Cross multiply
   524.81x = 699.89 × 699.89
4. Step 4: Simplify right side
   524.81x = 489,846.89
5. Step 5: Solve for x
   x = 489,846.89/524.81
6. Step 6: Final answer
   x = 933.38