Finding the Third Proportional to 67,684.50 and 146,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67,684.50 : 146,668.50 = 146,668.50 : x
2. Step 2: Convert to fraction form
   67,684.50/146,668.50 = 146,668.50/x
3. Step 3: Cross multiply
   67,684.50x = 146,668.50 × 146,668.50
4. Step 4: Simplify right side
   67,684.50x = 21,511,648,892.25
5. Step 5: Solve for x
   x = 21,511,648,892.25/67,684.50
6. Step 6: Final answer
   x = 317,822.38