Finding the Third Proportional to 85,866 and 188,136

Step by Step Solution

1. Step 1: Write the proportion equation
   85,866 : 188,136 = 188,136 : x
2. Step 2: Convert to fraction form
   85,866/188,136 = 188,136/x
3. Step 3: Cross multiply
   85,866x = 188,136 × 188,136
4. Step 4: Simplify right side
   85,866x = 35,395,154,496
5. Step 5: Solve for x
   x = 35,395,154,496/85,866
6. Step 6: Final answer
   x = 412,213.85