Finding the Third Proportional to 140,136 and 211,662

Step by Step Solution

1. Step 1: Write the proportion equation
   140,136 : 211,662 = 211,662 : x
2. Step 2: Convert to fraction form
   140,136/211,662 = 211,662/x
3. Step 3: Cross multiply
   140,136x = 211,662 × 211,662
4. Step 4: Simplify right side
   140,136x = 44,800,802,244
5. Step 5: Solve for x
   x = 44,800,802,244/140,136
6. Step 6: Final answer
   x = 319,695.17