Finding the Third Proportional to 68,408 and 105,078

Step by Step Solution

1. Step 1: Write the proportion equation
   68,408 : 105,078 = 105,078 : x
2. Step 2: Convert to fraction form
   68,408/105,078 = 105,078/x
3. Step 3: Cross multiply
   68,408x = 105,078 × 105,078
4. Step 4: Simplify right side
   68,408x = 11,041,386,084
5. Step 5: Solve for x
   x = 11,041,386,084/68,408
6. Step 6: Final answer
   x = 161,404.90