Finding the Third Proportional to 189.38 and 345.94

Step by Step Solution

1. Step 1: Write the proportion equation
   189.38 : 345.94 = 345.94 : x
2. Step 2: Convert to fraction form
   189.38/345.94 = 345.94/x
3. Step 3: Cross multiply
   189.38x = 345.94 × 345.94
4. Step 4: Simplify right side
   189.38x = 119,672.75
5. Step 5: Solve for x
   x = 119,672.75/189.38
6. Step 6: Final answer
   x = 631.94