Finding the Third Proportional to 140,136 and 201,456

Step by Step Solution

1. Step 1: Write the proportion equation
   140,136 : 201,456 = 201,456 : x
2. Step 2: Convert to fraction form
   140,136/201,456 = 201,456/x
3. Step 3: Cross multiply
   140,136x = 201,456 × 201,456
4. Step 4: Simplify right side
   140,136x = 40,584,519,936
5. Step 5: Solve for x
   x = 40,584,519,936/140,136
6. Step 6: Final answer
   x = 289,608.09