Finding the Third Proportional to 68,166 and 142,596

Step by Step Solution

1. Step 1: Write the proportion equation
   68,166 : 142,596 = 142,596 : x
2. Step 2: Convert to fraction form
   68,166/142,596 = 142,596/x
3. Step 3: Cross multiply
   68,166x = 142,596 × 142,596
4. Step 4: Simplify right side
   68,166x = 20,333,619,216
5. Step 5: Solve for x
   x = 20,333,619,216/68,166
6. Step 6: Final answer
   x = 298,295.62