Finding the Third Proportional to 78,392 and 171,520

Step by Step Solution

1. Step 1: Write the proportion equation
   78,392 : 171,520 = 171,520 : x
2. Step 2: Convert to fraction form
   78,392/171,520 = 171,520/x
3. Step 3: Cross multiply
   78,392x = 171,520 × 171,520
4. Step 4: Simplify right side
   78,392x = 29,419,110,400
5. Step 5: Solve for x
   x = 29,419,110,400/78,392
6. Step 6: Final answer
   x = 375,282.05