Finding the Third Proportional to 82,136 and 175,936

Step by Step Solution

1. Step 1: Write the proportion equation
   82,136 : 175,936 = 175,936 : x
2. Step 2: Convert to fraction form
   82,136/175,936 = 175,936/x
3. Step 3: Cross multiply
   82,136x = 175,936 × 175,936
4. Step 4: Simplify right side
   82,136x = 30,953,476,096
5. Step 5: Solve for x
   x = 30,953,476,096/82,136
6. Step 6: Final answer
   x = 376,856.39