Finding the Third Proportional to 53,067 and 114,442

Step by Step Solution

1. Step 1: Write the proportion equation
   53,067 : 114,442 = 114,442 : x
2. Step 2: Convert to fraction form
   53,067/114,442 = 114,442/x
3. Step 3: Cross multiply
   53,067x = 114,442 × 114,442
4. Step 4: Simplify right side
   53,067x = 13,096,971,364
5. Step 5: Solve for x
   x = 13,096,971,364/53,067
6. Step 6: Final answer
   x = 246,800.67