Finding the Third Proportional to 127.50 and 342.38

Step by Step Solution

1. Step 1: Write the proportion equation
   127.50 : 342.38 = 342.38 : x
2. Step 2: Convert to fraction form
   127.50/342.38 = 342.38/x
3. Step 3: Cross multiply
   127.50x = 342.38 × 342.38
4. Step 4: Simplify right side
   127.50x = 117,220.64
5. Step 5: Solve for x
   x = 117,220.64/127.50
6. Step 6: Final answer
   x = 919.38