Finding the Third Proportional to 56,664 and 123,696

Step by Step Solution

1. Step 1: Write the proportion equation
   56,664 : 123,696 = 123,696 : x
2. Step 2: Convert to fraction form
   56,664/123,696 = 123,696/x
3. Step 3: Cross multiply
   56,664x = 123,696 × 123,696
4. Step 4: Simplify right side
   56,664x = 15,300,700,416
5. Step 5: Solve for x
   x = 15,300,700,416/56,664
6. Step 6: Final answer
   x = 270,025.07