Finding the Third Proportional to 171,621 and 256,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   171,621 : 256,459.50 = 256,459.50 : x
2. Step 2: Convert to fraction form
   171,621/256,459.50 = 256,459.50/x
3. Step 3: Cross multiply
   171,621x = 256,459.50 × 256,459.50
4. Step 4: Simplify right side
   171,621x = 65,771,475,140.25
5. Step 5: Solve for x
   x = 65,771,475,140.25/171,621
6. Step 6: Final answer
   x = 383,236.76