Finding the Third Proportional to 123,840 and 271,411

Step by Step Solution

1. Step 1: Write the proportion equation
   123,840 : 271,411 = 271,411 : x
2. Step 2: Convert to fraction form
   123,840/271,411 = 271,411/x
3. Step 3: Cross multiply
   123,840x = 271,411 × 271,411
4. Step 4: Simplify right side
   123,840x = 73,663,930,921
5. Step 5: Solve for x
   x = 73,663,930,921/123,840
6. Step 6: Final answer
   x = 594,831.48