Finding the Third Proportional to 91,802 and 140,420

Step by Step Solution

1. Step 1: Write the proportion equation
   91,802 : 140,420 = 140,420 : x
2. Step 2: Convert to fraction form
   91,802/140,420 = 140,420/x
3. Step 3: Cross multiply
   91,802x = 140,420 × 140,420
4. Step 4: Simplify right side
   91,802x = 19,717,776,400
5. Step 5: Solve for x
   x = 19,717,776,400/91,802
6. Step 6: Final answer
   x = 214,785.91