Finding the Third Proportional to 111,160 and 172,136

Step by Step Solution

1. Step 1: Write the proportion equation
   111,160 : 172,136 = 172,136 : x
2. Step 2: Convert to fraction form
   111,160/172,136 = 172,136/x
3. Step 3: Cross multiply
   111,160x = 172,136 × 172,136
4. Step 4: Simplify right side
   111,160x = 29,630,802,496
5. Step 5: Solve for x
   x = 29,630,802,496/111,160
6. Step 6: Final answer
   x = 266,559.94