Finding the Third Proportional to 125,689 and 271,061

Step by Step Solution

1. Step 1: Write the proportion equation
   125,689 : 271,061 = 271,061 : x
2. Step 2: Convert to fraction form
   125,689/271,061 = 271,061/x
3. Step 3: Cross multiply
   125,689x = 271,061 × 271,061
4. Step 4: Simplify right side
   125,689x = 73,474,065,721
5. Step 5: Solve for x
   x = 73,474,065,721/125,689
6. Step 6: Final answer
   x = 584,570.37