Finding the Third Proportional to 120,168 and 187,056

Step by Step Solution

1. Step 1: Write the proportion equation
   120,168 : 187,056 = 187,056 : x
2. Step 2: Convert to fraction form
   120,168/187,056 = 187,056/x
3. Step 3: Cross multiply
   120,168x = 187,056 × 187,056
4. Step 4: Simplify right side
   120,168x = 34,989,947,136
5. Step 5: Solve for x
   x = 34,989,947,136/120,168
6. Step 6: Final answer
   x = 291,175.25