Finding the Third Proportional to 57,781 and 123,719

Step by Step Solution

1. Step 1: Write the proportion equation
   57,781 : 123,719 = 123,719 : x
2. Step 2: Convert to fraction form
   57,781/123,719 = 123,719/x
3. Step 3: Cross multiply
   57,781x = 123,719 × 123,719
4. Step 4: Simplify right side
   57,781x = 15,306,390,961
5. Step 5: Solve for x
   x = 15,306,390,961/57,781
6. Step 6: Final answer
   x = 264,903.53