Finding the Third Proportional to 123,868 and 271,360

Step by Step Solution

1. Step 1: Write the proportion equation
   123,868 : 271,360 = 271,360 : x
2. Step 2: Convert to fraction form
   123,868/271,360 = 271,360/x
3. Step 3: Cross multiply
   123,868x = 271,360 × 271,360
4. Step 4: Simplify right side
   123,868x = 73,636,249,600
5. Step 5: Solve for x
   x = 73,636,249,600/123,868
6. Step 6: Final answer
   x = 594,473.55