Finding the Third Proportional to 67,878 and 131,463

Step by Step Solution

1. Step 1: Write the proportion equation
   67,878 : 131,463 = 131,463 : x
2. Step 2: Convert to fraction form
   67,878/131,463 = 131,463/x
3. Step 3: Cross multiply
   67,878x = 131,463 × 131,463
4. Step 4: Simplify right side
   67,878x = 17,282,520,369
5. Step 5: Solve for x
   x = 17,282,520,369/67,878
6. Step 6: Final answer
   x = 254,611.51