Finding the Third Proportional to 167,678 and 253,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   167,678 : 253,684.50 = 253,684.50 : x
2. Step 2: Convert to fraction form
   167,678/253,684.50 = 253,684.50/x
3. Step 3: Cross multiply
   167,678x = 253,684.50 × 253,684.50
4. Step 4: Simplify right side
   167,678x = 64,355,825,540.25
5. Step 5: Solve for x
   x = 64,355,825,540.25/167,678
6. Step 6: Final answer
   x = 383,806.02