Finding the Third Proportional to 75.38 and 196.31

Step by Step Solution

1. Step 1: Write the proportion equation
   75.38 : 196.31 = 196.31 : x
2. Step 2: Convert to fraction form
   75.38/196.31 = 196.31/x
3. Step 3: Cross multiply
   75.38x = 196.31 × 196.31
4. Step 4: Simplify right side
   75.38x = 38,538.60
5. Step 5: Solve for x
   x = 38,538.60/75.38
6. Step 6: Final answer
   x = 511.29