Finding the Third Proportional to 56,085 and 123,288

Step by Step Solution

1. Step 1: Write the proportion equation
   56,085 : 123,288 = 123,288 : x
2. Step 2: Convert to fraction form
   56,085/123,288 = 123,288/x
3. Step 3: Cross multiply
   56,085x = 123,288 × 123,288
4. Step 4: Simplify right side
   56,085x = 15,199,930,944
5. Step 5: Solve for x
   x = 15,199,930,944/56,085
6. Step 6: Final answer
   x = 271,015.97