Finding the Third Proportional to 171,776.50 and 256,875

Step by Step Solution

1. Step 1: Write the proportion equation
   171,776.50 : 256,875 = 256,875 : x
2. Step 2: Convert to fraction form
   171,776.50/256,875 = 256,875/x
3. Step 3: Cross multiply
   171,776.50x = 256,875 × 256,875
4. Step 4: Simplify right side
   171,776.50x = 65,984,765,625
5. Step 5: Solve for x
   x = 65,984,765,625/171,776.50
6. Step 6: Final answer
   x = 384,131.51