Finding the Third Proportional to 171,002 and 255,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   171,002 : 255,543.50 = 255,543.50 : x
2. Step 2: Convert to fraction form
   171,002/255,543.50 = 255,543.50/x
3. Step 3: Cross multiply
   171,002x = 255,543.50 × 255,543.50
4. Step 4: Simplify right side
   171,002x = 65,302,480,392.25
5. Step 5: Solve for x
   x = 65,302,480,392.25/171,002
6. Step 6: Final answer
   x = 381,881.38