Finding the Third Proportional to 679.50 and 900.56

Step by Step Solution

1. Step 1: Write the proportion equation
   679.50 : 900.56 = 900.56 : x
2. Step 2: Convert to fraction form
   679.50/900.56 = 900.56/x
3. Step 3: Cross multiply
   679.50x = 900.56 × 900.56
4. Step 4: Simplify right side
   679.50x = 811,012.82
5. Step 5: Solve for x
   x = 811,012.82/679.50
6. Step 6: Final answer
   x = 1,193.54