Finding the Third Proportional to 52,242 and 114,498

Step by Step Solution

1. Step 1: Write the proportion equation
   52,242 : 114,498 = 114,498 : x
2. Step 2: Convert to fraction form
   52,242/114,498 = 114,498/x
3. Step 3: Cross multiply
   52,242x = 114,498 × 114,498
4. Step 4: Simplify right side
   52,242x = 13,109,792,004
5. Step 5: Solve for x
   x = 13,109,792,004/52,242
6. Step 6: Final answer
   x = 250,943.53