Finding the Third Proportional to 78,368 and 168,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,368 : 168,519.50 = 168,519.50 : x
2. Step 2: Convert to fraction form
   78,368/168,519.50 = 168,519.50/x
3. Step 3: Cross multiply
   78,368x = 168,519.50 × 168,519.50
4. Step 4: Simplify right side
   78,368x = 28,398,821,880.25
5. Step 5: Solve for x
   x = 28,398,821,880.25/78,368
6. Step 6: Final answer
   x = 362,377.78