Finding the Third Proportional to 63,980 and 132,064

Step by Step Solution

1. Step 1: Write the proportion equation
   63,980 : 132,064 = 132,064 : x
2. Step 2: Convert to fraction form
   63,980/132,064 = 132,064/x
3. Step 3: Cross multiply
   63,980x = 132,064 × 132,064
4. Step 4: Simplify right side
   63,980x = 17,440,900,096
5. Step 5: Solve for x
   x = 17,440,900,096/63,980
6. Step 6: Final answer
   x = 272,599.25