Finding the Third Proportional to 78,351 and 169,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,351 : 169,168.50 = 169,168.50 : x
2. Step 2: Convert to fraction form
   78,351/169,168.50 = 169,168.50/x
3. Step 3: Cross multiply
   78,351x = 169,168.50 × 169,168.50
4. Step 4: Simplify right side
   78,351x = 28,617,981,392.25
5. Step 5: Solve for x
   x = 28,617,981,392.25/78,351
6. Step 6: Final answer
   x = 365,253.56