Finding the Third Proportional to 91,867 and 140,534

Step by Step Solution

1. Step 1: Write the proportion equation
   91,867 : 140,534 = 140,534 : x
2. Step 2: Convert to fraction form
   91,867/140,534 = 140,534/x
3. Step 3: Cross multiply
   91,867x = 140,534 × 140,534
4. Step 4: Simplify right side
   91,867x = 19,749,805,156
5. Step 5: Solve for x
   x = 19,749,805,156/91,867
6. Step 6: Final answer
   x = 214,982.59