Finding the Third Proportional to 78,878 and 171,064

Step by Step Solution

1. Step 1: Write the proportion equation
   78,878 : 171,064 = 171,064 : x
2. Step 2: Convert to fraction form
   78,878/171,064 = 171,064/x
3. Step 3: Cross multiply
   78,878x = 171,064 × 171,064
4. Step 4: Simplify right side
   78,878x = 29,262,892,096
5. Step 5: Solve for x
   x = 29,262,892,096/78,878
6. Step 6: Final answer
   x = 370,989.28