Finding the Third Proportional to 78,236 and 168,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,236 : 168,942.50 = 168,942.50 : x
2. Step 2: Convert to fraction form
   78,236/168,942.50 = 168,942.50/x
3. Step 3: Cross multiply
   78,236x = 168,942.50 × 168,942.50
4. Step 4: Simplify right side
   78,236x = 28,541,568,306.25
5. Step 5: Solve for x
   x = 28,541,568,306.25/78,236
6. Step 6: Final answer
   x = 364,813.75