Finding the Third Proportional to 114.31 and 242.94

Step by Step Solution

1. Step 1: Write the proportion equation
   114.31 : 242.94 = 242.94 : x
2. Step 2: Convert to fraction form
   114.31/242.94 = 242.94/x
3. Step 3: Cross multiply
   114.31x = 242.94 × 242.94
4. Step 4: Simplify right side
   114.31x = 59,018.63
5. Step 5: Solve for x
   x = 59,018.63/114.31
6. Step 6: Final answer
   x = 516.29