Finding the Third Proportional to 70,877 and 109,665

Step by Step Solution

1. Step 1: Write the proportion equation
   70,877 : 109,665 = 109,665 : x
2. Step 2: Convert to fraction form
   70,877/109,665 = 109,665/x
3. Step 3: Cross multiply
   70,877x = 109,665 × 109,665
4. Step 4: Simplify right side
   70,877x = 12,026,412,225
5. Step 5: Solve for x
   x = 12,026,412,225/70,877
6. Step 6: Final answer
   x = 169,680.04