Finding the Third Proportional to 78,656 and 171,136

Step by Step Solution

1. Step 1: Write the proportion equation
   78,656 : 171,136 = 171,136 : x
2. Step 2: Convert to fraction form
   78,656/171,136 = 171,136/x
3. Step 3: Cross multiply
   78,656x = 171,136 × 171,136
4. Step 4: Simplify right side
   78,656x = 29,287,530,496
5. Step 5: Solve for x
   x = 29,287,530,496/78,656
6. Step 6: Final answer
   x = 372,349.60