Finding the Third Proportional to 111,794 and 169,136

Step by Step Solution

1. Step 1: Write the proportion equation
   111,794 : 169,136 = 169,136 : x
2. Step 2: Convert to fraction form
   111,794/169,136 = 169,136/x
3. Step 3: Cross multiply
   111,794x = 169,136 × 169,136
4. Step 4: Simplify right side
   111,794x = 28,606,986,496
5. Step 5: Solve for x
   x = 28,606,986,496/111,794
6. Step 6: Final answer
   x = 255,890.18