Finding the Third Proportional to 171,574.50 and 258,624

Step by Step Solution

1. Step 1: Write the proportion equation
   171,574.50 : 258,624 = 258,624 : x
2. Step 2: Convert to fraction form
   171,574.50/258,624 = 258,624/x
3. Step 3: Cross multiply
   171,574.50x = 258,624 × 258,624
4. Step 4: Simplify right side
   171,574.50x = 66,886,373,376
5. Step 5: Solve for x
   x = 66,886,373,376/171,574.50
6. Step 6: Final answer
   x = 389,838.66