Finding the Third Proportional to 158.50 and 347.38

Step by Step Solution

1. Step 1: Write the proportion equation
   158.50 : 347.38 = 347.38 : x
2. Step 2: Convert to fraction form
   158.50/347.38 = 347.38/x
3. Step 3: Cross multiply
   158.50x = 347.38 × 347.38
4. Step 4: Simplify right side
   158.50x = 120,669.39
5. Step 5: Solve for x
   x = 120,669.39/158.50
6. Step 6: Final answer
   x = 761.32