Finding the Third Proportional to 140,832 and 212,463

Step by Step Solution

1. Step 1: Write the proportion equation
   140,832 : 212,463 = 212,463 : x
2. Step 2: Convert to fraction form
   140,832/212,463 = 212,463/x
3. Step 3: Cross multiply
   140,832x = 212,463 × 212,463
4. Step 4: Simplify right side
   140,832x = 45,140,526,369
5. Step 5: Solve for x
   x = 45,140,526,369/140,832
6. Step 6: Final answer
   x = 320,527.48