Finding the Third Proportional to 52,042 and 114,452

Step by Step Solution

1. Step 1: Write the proportion equation
   52,042 : 114,452 = 114,452 : x
2. Step 2: Convert to fraction form
   52,042/114,452 = 114,452/x
3. Step 3: Cross multiply
   52,042x = 114,452 × 114,452
4. Step 4: Simplify right side
   52,042x = 13,099,260,304
5. Step 5: Solve for x
   x = 13,099,260,304/52,042
6. Step 6: Final answer
   x = 251,705.55