Finding the Third Proportional to 525.75 and 667.88

Step by Step Solution

1. Step 1: Write the proportion equation
   525.75 : 667.88 = 667.88 : x
2. Step 2: Convert to fraction form
   525.75/667.88 = 667.88/x
3. Step 3: Cross multiply
   525.75x = 667.88 × 667.88
4. Step 4: Simplify right side
   525.75x = 446,057.02
5. Step 5: Solve for x
   x = 446,057.02/525.75
6. Step 6: Final answer
   x = 848.42