Finding the Third Proportional to 132,681 and 277,665

Step by Step Solution

1. Step 1: Write the proportion equation
   132,681 : 277,665 = 277,665 : x
2. Step 2: Convert to fraction form
   132,681/277,665 = 277,665/x
3. Step 3: Cross multiply
   132,681x = 277,665 × 277,665
4. Step 4: Simplify right side
   132,681x = 77,097,852,225
5. Step 5: Solve for x
   x = 77,097,852,225/132,681
6. Step 6: Final answer
   x = 581,076.81