Finding the Third Proportional to 78,976 and 171,056

Step by Step Solution

1. Step 1: Write the proportion equation
   78,976 : 171,056 = 171,056 : x
2. Step 2: Convert to fraction form
   78,976/171,056 = 171,056/x
3. Step 3: Cross multiply
   78,976x = 171,056 × 171,056
4. Step 4: Simplify right side
   78,976x = 29,260,155,136
5. Step 5: Solve for x
   x = 29,260,155,136/78,976
6. Step 6: Final answer
   x = 370,494.27