Finding the Third Proportional to 52,577 and 114,028

Step by Step Solution

1. Step 1: Write the proportion equation
   52,577 : 114,028 = 114,028 : x
2. Step 2: Convert to fraction form
   52,577/114,028 = 114,028/x
3. Step 3: Cross multiply
   52,577x = 114,028 × 114,028
4. Step 4: Simplify right side
   52,577x = 13,002,384,784
5. Step 5: Solve for x
   x = 13,002,384,784/52,577
6. Step 6: Final answer
   x = 247,301.76