Finding the Third Proportional to 747.56 and 799.88

Step by Step Solution

1. Step 1: Write the proportion equation
   747.56 : 799.88 = 799.88 : x
2. Step 2: Convert to fraction form
   747.56/799.88 = 799.88/x
3. Step 3: Cross multiply
   747.56x = 799.88 × 799.88
4. Step 4: Simplify right side
   747.56x = 639,800.02
5. Step 5: Solve for x
   x = 639,800.02/747.56
6. Step 6: Final answer
   x = 855.85