Finding the Third Proportional to 68,870 and 106,419

Step by Step Solution

1. Step 1: Write the proportion equation
   68,870 : 106,419 = 106,419 : x
2. Step 2: Convert to fraction form
   68,870/106,419 = 106,419/x
3. Step 3: Cross multiply
   68,870x = 106,419 × 106,419
4. Step 4: Simplify right side
   68,870x = 11,325,003,561
5. Step 5: Solve for x
   x = 11,325,003,561/68,870
6. Step 6: Final answer
   x = 164,440.30