Finding the Third Proportional to 475.31 and 754.59

Step by Step Solution

1. Step 1: Write the proportion equation
   475.31 : 754.59 = 754.59 : x
2. Step 2: Convert to fraction form
   475.31/754.59 = 754.59/x
3. Step 3: Cross multiply
   475.31x = 754.59 × 754.59
4. Step 4: Simplify right side
   475.31x = 569,411.73
5. Step 5: Solve for x
   x = 569,411.73/475.31
6. Step 6: Final answer
   x = 1,197.97