Finding the Third Proportional to 52,880 and 114,976

Step by Step Solution

1. Step 1: Write the proportion equation
   52,880 : 114,976 = 114,976 : x
2. Step 2: Convert to fraction form
   52,880/114,976 = 114,976/x
3. Step 3: Cross multiply
   52,880x = 114,976 × 114,976
4. Step 4: Simplify right side
   52,880x = 13,219,480,576
5. Step 5: Solve for x
   x = 13,219,480,576/52,880
6. Step 6: Final answer
   x = 249,990.18