Finding the Third Proportional to 53,078 and 114,020

Step by Step Solution

1. Step 1: Write the proportion equation
   53,078 : 114,020 = 114,020 : x
2. Step 2: Convert to fraction form
   53,078/114,020 = 114,020/x
3. Step 3: Cross multiply
   53,078x = 114,020 × 114,020
4. Step 4: Simplify right side
   53,078x = 13,000,560,400
5. Step 5: Solve for x
   x = 13,000,560,400/53,078
6. Step 6: Final answer
   x = 244,933.12