Finding the Third Proportional to 189.84 and 412.59

Step by Step Solution

1. Step 1: Write the proportion equation
   189.84 : 412.59 = 412.59 : x
2. Step 2: Convert to fraction form
   189.84/412.59 = 412.59/x
3. Step 3: Cross multiply
   189.84x = 412.59 × 412.59
4. Step 4: Simplify right side
   189.84x = 170,233.60
5. Step 5: Solve for x
   x = 170,233.60/189.84
6. Step 6: Final answer
   x = 896.70