Finding the Third Proportional to 91,843 and 140,399

Step by Step Solution

1. Step 1: Write the proportion equation
   91,843 : 140,399 = 140,399 : x
2. Step 2: Convert to fraction form
   91,843/140,399 = 140,399/x
3. Step 3: Cross multiply
   91,843x = 140,399 × 140,399
4. Step 4: Simplify right side
   91,843x = 19,711,879,201
5. Step 5: Solve for x
   x = 19,711,879,201/91,843
6. Step 6: Final answer
   x = 214,625.82