Finding the Third Proportional to 91,941 and 140,586

Step by Step Solution

1. Step 1: Write the proportion equation
   91,941 : 140,586 = 140,586 : x
2. Step 2: Convert to fraction form
   91,941/140,586 = 140,586/x
3. Step 3: Cross multiply
   91,941x = 140,586 × 140,586
4. Step 4: Simplify right side
   91,941x = 19,764,423,396
5. Step 5: Solve for x
   x = 19,764,423,396/91,941
6. Step 6: Final answer
   x = 214,968.55