Finding the Third Proportional to 78,840 and 175,176

Step by Step Solution

1. Step 1: Write the proportion equation
   78,840 : 175,176 = 175,176 : x
2. Step 2: Convert to fraction form
   78,840/175,176 = 175,176/x
3. Step 3: Cross multiply
   78,840x = 175,176 × 175,176
4. Step 4: Simplify right side
   78,840x = 30,686,630,976
5. Step 5: Solve for x
   x = 30,686,630,976/78,840
6. Step 6: Final answer
   x = 389,226.67