Finding the Third Proportional to 69,016 and 142,442

Step by Step Solution

1. Step 1: Write the proportion equation
   69,016 : 142,442 = 142,442 : x
2. Step 2: Convert to fraction form
   69,016/142,442 = 142,442/x
3. Step 3: Cross multiply
   69,016x = 142,442 × 142,442
4. Step 4: Simplify right side
   69,016x = 20,289,723,364
5. Step 5: Solve for x
   x = 20,289,723,364/69,016
6. Step 6: Final answer
   x = 293,985.79