Finding the Third Proportional to 57,116 and 123,765

Step by Step Solution

1. Step 1: Write the proportion equation
   57,116 : 123,765 = 123,765 : x
2. Step 2: Convert to fraction form
   57,116/123,765 = 123,765/x
3. Step 3: Cross multiply
   57,116x = 123,765 × 123,765
4. Step 4: Simplify right side
   57,116x = 15,317,775,225
5. Step 5: Solve for x
   x = 15,317,775,225/57,116
6. Step 6: Final answer
   x = 268,187.11