Finding the Third Proportional to 67,824 and 145,680

Step by Step Solution

1. Step 1: Write the proportion equation
   67,824 : 145,680 = 145,680 : x
2. Step 2: Convert to fraction form
   67,824/145,680 = 145,680/x
3. Step 3: Cross multiply
   67,824x = 145,680 × 145,680
4. Step 4: Simplify right side
   67,824x = 21,222,662,400
5. Step 5: Solve for x
   x = 21,222,662,400/67,824
6. Step 6: Final answer
   x = 312,907.86