Finding the Third Proportional to 63,648 and 137,132

Step by Step Solution

1. Step 1: Write the proportion equation
   63,648 : 137,132 = 137,132 : x
2. Step 2: Convert to fraction form
   63,648/137,132 = 137,132/x
3. Step 3: Cross multiply
   63,648x = 137,132 × 137,132
4. Step 4: Simplify right side
   63,648x = 18,805,185,424
5. Step 5: Solve for x
   x = 18,805,185,424/63,648
6. Step 6: Final answer
   x = 295,456.03