Finding the Third Proportional to 59.34 and 126.14

Step by Step Solution

1. Step 1: Write the proportion equation
   59.34 : 126.14 = 126.14 : x
2. Step 2: Convert to fraction form
   59.34/126.14 = 126.14/x
3. Step 3: Cross multiply
   59.34x = 126.14 × 126.14
4. Step 4: Simplify right side
   59.34x = 15,911.46
5. Step 5: Solve for x
   x = 15,911.46/59.34
6. Step 6: Final answer
   x = 268.12