Finding the Third Proportional to 91,852 and 140,506

Step by Step Solution

1. Step 1: Write the proportion equation
   91,852 : 140,506 = 140,506 : x
2. Step 2: Convert to fraction form
   91,852/140,506 = 140,506/x
3. Step 3: Cross multiply
   91,852x = 140,506 × 140,506
4. Step 4: Simplify right side
   91,852x = 19,741,936,036
5. Step 5: Solve for x
   x = 19,741,936,036/91,852
6. Step 6: Final answer
   x = 214,932.02