Finding the Third Proportional to 78,367 and 168,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,367 : 168,517.50 = 168,517.50 : x
2. Step 2: Convert to fraction form
   78,367/168,517.50 = 168,517.50/x
3. Step 3: Cross multiply
   78,367x = 168,517.50 × 168,517.50
4. Step 4: Simplify right side
   78,367x = 28,398,147,806.25
5. Step 5: Solve for x
   x = 28,398,147,806.25/78,367
6. Step 6: Final answer
   x = 362,373.80