Finding the Third Proportional to 78,648 and 171,118

Step by Step Solution

1. Step 1: Write the proportion equation
   78,648 : 171,118 = 171,118 : x
2. Step 2: Convert to fraction form
   78,648/171,118 = 171,118/x
3. Step 3: Cross multiply
   78,648x = 171,118 × 171,118
4. Step 4: Simplify right side
   78,648x = 29,281,369,924
5. Step 5: Solve for x
   x = 29,281,369,924/78,648
6. Step 6: Final answer
   x = 372,309.15