Finding the Third Proportional to 78,649 and 171,120

Step by Step Solution

1. Step 1: Write the proportion equation
   78,649 : 171,120 = 171,120 : x
2. Step 2: Convert to fraction form
   78,649/171,120 = 171,120/x
3. Step 3: Cross multiply
   78,649x = 171,120 × 171,120
4. Step 4: Simplify right side
   78,649x = 29,282,054,400
5. Step 5: Solve for x
   x = 29,282,054,400/78,649
6. Step 6: Final answer
   x = 372,313.12