Finding the Third Proportional to 357.38 and 530.06

Step by Step Solution

1. Step 1: Write the proportion equation
   357.38 : 530.06 = 530.06 : x
2. Step 2: Convert to fraction form
   357.38/530.06 = 530.06/x
3. Step 3: Cross multiply
   357.38x = 530.06 × 530.06
4. Step 4: Simplify right side
   357.38x = 280,966.25
5. Step 5: Solve for x
   x = 280,966.25/357.38
6. Step 6: Final answer
   x = 786.19