Finding the Third Proportional to 78,204.50 and 171,960.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,204.50 : 171,960.50 = 171,960.50 : x
2. Step 2: Convert to fraction form
   78,204.50/171,960.50 = 171,960.50/x
3. Step 3: Cross multiply
   78,204.50x = 171,960.50 × 171,960.50
4. Step 4: Simplify right side
   78,204.50x = 29,570,413,560.25
5. Step 5: Solve for x
   x = 29,570,413,560.25/78,204.50
6. Step 6: Final answer
   x = 378,116.52