Finding the Third Proportional to 71,776 and 111,136

Step by Step Solution

1. Step 1: Write the proportion equation
   71,776 : 111,136 = 111,136 : x
2. Step 2: Convert to fraction form
   71,776/111,136 = 111,136/x
3. Step 3: Cross multiply
   71,776x = 111,136 × 111,136
4. Step 4: Simplify right side
   71,776x = 12,351,210,496
5. Step 5: Solve for x
   x = 12,351,210,496/71,776
6. Step 6: Final answer
   x = 172,079.95