Finding the Third Proportional to 67,824 and 141,696

Step by Step Solution

1. Step 1: Write the proportion equation
   67,824 : 141,696 = 141,696 : x
2. Step 2: Convert to fraction form
   67,824/141,696 = 141,696/x
3. Step 3: Cross multiply
   67,824x = 141,696 × 141,696
4. Step 4: Simplify right side
   67,824x = 20,077,756,416
5. Step 5: Solve for x
   x = 20,077,756,416/67,824
6. Step 6: Final answer
   x = 296,027.31