Finding the Third Proportional to 67,269 and 142,738

Step by Step Solution

1. Step 1: Write the proportion equation
   67,269 : 142,738 = 142,738 : x
2. Step 2: Convert to fraction form
   67,269/142,738 = 142,738/x
3. Step 3: Cross multiply
   67,269x = 142,738 × 142,738
4. Step 4: Simplify right side
   67,269x = 20,374,136,644
5. Step 5: Solve for x
   x = 20,374,136,644/67,269
6. Step 6: Final answer
   x = 302,875.57