Finding the Third Proportional to 67,832 and 141,712

Step by Step Solution

1. Step 1: Write the proportion equation
   67,832 : 141,712 = 141,712 : x
2. Step 2: Convert to fraction form
   67,832/141,712 = 141,712/x
3. Step 3: Cross multiply
   67,832x = 141,712 × 141,712
4. Step 4: Simplify right side
   67,832x = 20,082,290,944
5. Step 5: Solve for x
   x = 20,082,290,944/67,832
6. Step 6: Final answer
   x = 296,059.25