Finding the Third Proportional to 52.02 and 114.01

Step by Step Solution

1. Step 1: Write the proportion equation
   52.02 : 114.01 = 114.01 : x
2. Step 2: Convert to fraction form
   52.02/114.01 = 114.01/x
3. Step 3: Cross multiply
   52.02x = 114.01 × 114.01
4. Step 4: Simplify right side
   52.02x = 12,998.67
5. Step 5: Solve for x
   x = 12,998.67/52.02
6. Step 6: Final answer
   x = 249.87