Finding the Third Proportional to 65,098 and 132,006

Step by Step Solution

1. Step 1: Write the proportion equation
   65,098 : 132,006 = 132,006 : x
2. Step 2: Convert to fraction form
   65,098/132,006 = 132,006/x
3. Step 3: Cross multiply
   65,098x = 132,006 × 132,006
4. Step 4: Simplify right side
   65,098x = 17,425,584,036
5. Step 5: Solve for x
   x = 17,425,584,036/65,098
6. Step 6: Final answer
   x = 267,682.33