Finding the Third Proportional to 123,192 and 191,136

Step by Step Solution

1. Step 1: Write the proportion equation
   123,192 : 191,136 = 191,136 : x
2. Step 2: Convert to fraction form
   123,192/191,136 = 191,136/x
3. Step 3: Cross multiply
   123,192x = 191,136 × 191,136
4. Step 4: Simplify right side
   123,192x = 36,532,970,496
5. Step 5: Solve for x
   x = 36,532,970,496/123,192
6. Step 6: Final answer
   x = 296,553.11