Finding the Third Proportional to 67,827 and 141,849

Step by Step Solution

1. Step 1: Write the proportion equation
   67,827 : 141,849 = 141,849 : x
2. Step 2: Convert to fraction form
   67,827/141,849 = 141,849/x
3. Step 3: Cross multiply
   67,827x = 141,849 × 141,849
4. Step 4: Simplify right side
   67,827x = 20,121,138,801
5. Step 5: Solve for x
   x = 20,121,138,801/67,827
6. Step 6: Final answer
   x = 296,653.82