Finding the Third Proportional to 78,444 and 171,468

Step by Step Solution

1. Step 1: Write the proportion equation
   78,444 : 171,468 = 171,468 : x
2. Step 2: Convert to fraction form
   78,444/171,468 = 171,468/x
3. Step 3: Cross multiply
   78,444x = 171,468 × 171,468
4. Step 4: Simplify right side
   78,444x = 29,401,275,024
5. Step 5: Solve for x
   x = 29,401,275,024/78,444
6. Step 6: Final answer
   x = 374,805.91