Finding the Third Proportional to 412.59 and 599.34

Step by Step Solution

1. Step 1: Write the proportion equation
   412.59 : 599.34 = 599.34 : x
2. Step 2: Convert to fraction form
   412.59/599.34 = 599.34/x
3. Step 3: Cross multiply
   412.59x = 599.34 × 599.34
4. Step 4: Simplify right side
   412.59x = 359,212.93
5. Step 5: Solve for x
   x = 359,212.93/412.59
6. Step 6: Final answer
   x = 870.62