Finding the Third Proportional to 51,804 and 114,498

Step by Step Solution

1. Step 1: Write the proportion equation
   51,804 : 114,498 = 114,498 : x
2. Step 2: Convert to fraction form
   51,804/114,498 = 114,498/x
3. Step 3: Cross multiply
   51,804x = 114,498 × 114,498
4. Step 4: Simplify right side
   51,804x = 13,109,792,004
5. Step 5: Solve for x
   x = 13,109,792,004/51,804
6. Step 6: Final answer
   x = 253,065.25