Finding the Third Proportional to 78,998 and 171,116

Step by Step Solution

1. Step 1: Write the proportion equation
   78,998 : 171,116 = 171,116 : x
2. Step 2: Convert to fraction form
   78,998/171,116 = 171,116/x
3. Step 3: Cross multiply
   78,998x = 171,116 × 171,116
4. Step 4: Simplify right side
   78,998x = 29,280,685,456
5. Step 5: Solve for x
   x = 29,280,685,456/78,998
6. Step 6: Final answer
   x = 370,650.97