Finding the Third Proportional to 57,696 and 123,696

Step by Step Solution

1. Step 1: Write the proportion equation
   57,696 : 123,696 = 123,696 : x
2. Step 2: Convert to fraction form
   57,696/123,696 = 123,696/x
3. Step 3: Cross multiply
   57,696x = 123,696 × 123,696
4. Step 4: Simplify right side
   57,696x = 15,300,700,416
5. Step 5: Solve for x
   x = 15,300,700,416/57,696
6. Step 6: Final answer
   x = 265,195.17