Finding the Third Proportional to 123,727 and 271,101

Step by Step Solution

1. Step 1: Write the proportion equation
   123,727 : 271,101 = 271,101 : x
2. Step 2: Convert to fraction form
   123,727/271,101 = 271,101/x
3. Step 3: Cross multiply
   123,727x = 271,101 × 271,101
4. Step 4: Simplify right side
   123,727x = 73,495,752,201
5. Step 5: Solve for x
   x = 73,495,752,201/123,727
6. Step 6: Final answer
   x = 594,015.47