Finding the Third Proportional to 189.38 and 279.56

Step by Step Solution

1. Step 1: Write the proportion equation
   189.38 : 279.56 = 279.56 : x
2. Step 2: Convert to fraction form
   189.38/279.56 = 279.56/x
3. Step 3: Cross multiply
   189.38x = 279.56 × 279.56
4. Step 4: Simplify right side
   189.38x = 78,155.19
5. Step 5: Solve for x
   x = 78,155.19/189.38
6. Step 6: Final answer
   x = 412.70