Finding the Third Proportional to 83,685 and 182,136

Step by Step Solution

1. Step 1: Write the proportion equation
   83,685 : 182,136 = 182,136 : x
2. Step 2: Convert to fraction form
   83,685/182,136 = 182,136/x
3. Step 3: Cross multiply
   83,685x = 182,136 × 182,136
4. Step 4: Simplify right side
   83,685x = 33,173,522,496
5. Step 5: Solve for x
   x = 33,173,522,496/83,685
6. Step 6: Final answer
   x = 396,409.42