Finding the Third Proportional to 67,738 and 142,118

Step by Step Solution

1. Step 1: Write the proportion equation
   67,738 : 142,118 = 142,118 : x
2. Step 2: Convert to fraction form
   67,738/142,118 = 142,118/x
3. Step 3: Cross multiply
   67,738x = 142,118 × 142,118
4. Step 4: Simplify right side
   67,738x = 20,197,525,924
5. Step 5: Solve for x
   x = 20,197,525,924/67,738
6. Step 6: Final answer
   x = 298,171.28