Finding the Third Proportional to 52,804 and 109,976

Step by Step Solution

1. Step 1: Write the proportion equation
   52,804 : 109,976 = 109,976 : x
2. Step 2: Convert to fraction form
   52,804/109,976 = 109,976/x
3. Step 3: Cross multiply
   52,804x = 109,976 × 109,976
4. Step 4: Simplify right side
   52,804x = 12,094,720,576
5. Step 5: Solve for x
   x = 12,094,720,576/52,804
6. Step 6: Final answer
   x = 229,049.33