Finding the Third Proportional to 163,405 and 256,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   163,405 : 256,783.50 = 256,783.50 : x
2. Step 2: Convert to fraction form
   163,405/256,783.50 = 256,783.50/x
3. Step 3: Cross multiply
   163,405x = 256,783.50 × 256,783.50
4. Step 4: Simplify right side
   163,405x = 65,937,765,872.25
5. Step 5: Solve for x
   x = 65,937,765,872.25/163,405
6. Step 6: Final answer
   x = 403,523.55