Finding the Third Proportional to 53,416 and 123,656

Step by Step Solution

1. Step 1: Write the proportion equation
   53,416 : 123,656 = 123,656 : x
2. Step 2: Convert to fraction form
   53,416/123,656 = 123,656/x
3. Step 3: Cross multiply
   53,416x = 123,656 × 123,656
4. Step 4: Simplify right side
   53,416x = 15,290,806,336
5. Step 5: Solve for x
   x = 15,290,806,336/53,416
6. Step 6: Final answer
   x = 286,258.92