Finding the Third Proportional to 78,184 and 171,176

Step by Step Solution

1. Step 1: Write the proportion equation
   78,184 : 171,176 = 171,176 : x
2. Step 2: Convert to fraction form
   78,184/171,176 = 171,176/x
3. Step 3: Cross multiply
   78,184x = 171,176 × 171,176
4. Step 4: Simplify right side
   78,184x = 29,301,222,976
5. Step 5: Solve for x
   x = 29,301,222,976/78,184
6. Step 6: Final answer
   x = 374,772.63