Finding the Third Proportional to 63,642 and 137,760

Step by Step Solution

1. Step 1: Write the proportion equation
   63,642 : 137,760 = 137,760 : x
2. Step 2: Convert to fraction form
   63,642/137,760 = 137,760/x
3. Step 3: Cross multiply
   63,642x = 137,760 × 137,760
4. Step 4: Simplify right side
   63,642x = 18,977,817,600
5. Step 5: Solve for x
   x = 18,977,817,600/63,642
6. Step 6: Final answer
   x = 298,196.44