Finding the Third Proportional to 475.69 and 700.78

Step by Step Solution

1. Step 1: Write the proportion equation
   475.69 : 700.78 = 700.78 : x
2. Step 2: Convert to fraction form
   475.69/700.78 = 700.78/x
3. Step 3: Cross multiply
   475.69x = 700.78 × 700.78
4. Step 4: Simplify right side
   475.69x = 491,094.36
5. Step 5: Solve for x
   x = 491,094.36/475.69
6. Step 6: Final answer
   x = 1,032.39