Finding the Third Proportional to 124,638 and 271,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   124,638 : 271,834.50 = 271,834.50 : x
2. Step 2: Convert to fraction form
   124,638/271,834.50 = 271,834.50/x
3. Step 3: Cross multiply
   124,638x = 271,834.50 × 271,834.50
4. Step 4: Simplify right side
   124,638x = 73,893,995,390.25
5. Step 5: Solve for x
   x = 73,893,995,390.25/124,638
6. Step 6: Final answer
   x = 592,868.91