Finding the Third Proportional to 78,462 and 169,960.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,462 : 169,960.50 = 169,960.50 : x
2. Step 2: Convert to fraction form
   78,462/169,960.50 = 169,960.50/x
3. Step 3: Cross multiply
   78,462x = 169,960.50 × 169,960.50
4. Step 4: Simplify right side
   78,462x = 28,886,571,560.25
5. Step 5: Solve for x
   x = 28,886,571,560.25/78,462
6. Step 6: Final answer
   x = 368,160.02