Finding the Third Proportional to 82,356 and 180,136

Step by Step Solution

1. Step 1: Write the proportion equation
   82,356 : 180,136 = 180,136 : x
2. Step 2: Convert to fraction form
   82,356/180,136 = 180,136/x
3. Step 3: Cross multiply
   82,356x = 180,136 × 180,136
4. Step 4: Simplify right side
   82,356x = 32,448,978,496
5. Step 5: Solve for x
   x = 32,448,978,496/82,356
6. Step 6: Final answer
   x = 394,008.68