Finding the Third Proportional to 186.05 and 412.59

Step by Step Solution

1. Step 1: Write the proportion equation
   186.05 : 412.59 = 412.59 : x
2. Step 2: Convert to fraction form
   186.05/412.59 = 412.59/x
3. Step 3: Cross multiply
   186.05x = 412.59 × 412.59
4. Step 4: Simplify right side
   186.05x = 170,233.60
5. Step 5: Solve for x
   x = 170,233.60/186.05
6. Step 6: Final answer
   x = 915.00