Finding the Third Proportional to 68,814 and 106,353.38

Step by Step Solution

1. Step 1: Write the proportion equation
   68,814 : 106,353.38 = 106,353.38 : x
2. Step 2: Convert to fraction form
   68,814/106,353.38 = 106,353.38/x
3. Step 3: Cross multiply
   68,814x = 106,353.38 × 106,353.38
4. Step 4: Simplify right side
   68,814x = 11,311,040,373.89
5. Step 5: Solve for x
   x = 11,311,040,373.89/68,814
6. Step 6: Final answer
   x = 164,371.21