Finding the Third Proportional to 462.59 and 670.15

Step by Step Solution

1. Step 1: Write the proportion equation
   462.59 : 670.15 = 670.15 : x
2. Step 2: Convert to fraction form
   462.59/670.15 = 670.15/x
3. Step 3: Cross multiply
   462.59x = 670.15 × 670.15
4. Step 4: Simplify right side
   462.59x = 449,098.93
5. Step 5: Solve for x
   x = 449,098.93/462.59
6. Step 6: Final answer
   x = 970.84