Finding the Third Proportional to 63,576 and 137,142

Step by Step Solution

1. Step 1: Write the proportion equation
   63,576 : 137,142 = 137,142 : x
2. Step 2: Convert to fraction form
   63,576/137,142 = 137,142/x
3. Step 3: Cross multiply
   63,576x = 137,142 × 137,142
4. Step 4: Simplify right side
   63,576x = 18,807,928,164
5. Step 5: Solve for x
   x = 18,807,928,164/63,576
6. Step 6: Final answer
   x = 295,833.78