Finding the Third Proportional to 68,382 and 105,045

Step by Step Solution

1. Step 1: Write the proportion equation
   68,382 : 105,045 = 105,045 : x
2. Step 2: Convert to fraction form
   68,382/105,045 = 105,045/x
3. Step 3: Cross multiply
   68,382x = 105,045 × 105,045
4. Step 4: Simplify right side
   68,382x = 11,034,452,025
5. Step 5: Solve for x
   x = 11,034,452,025/68,382
6. Step 6: Final answer
   x = 161,364.86