Finding the Third Proportional to 105,336 and 161,136

Step by Step Solution

1. Step 1: Write the proportion equation
   105,336 : 161,136 = 161,136 : x
2. Step 2: Convert to fraction form
   105,336/161,136 = 161,136/x
3. Step 3: Cross multiply
   105,336x = 161,136 × 161,136
4. Step 4: Simplify right side
   105,336x = 25,964,810,496
5. Step 5: Solve for x
   x = 25,964,810,496/105,336
6. Step 6: Final answer
   x = 246,495.13