Finding the Third Proportional to 110,403 and 257,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,403 : 257,539.50 = 257,539.50 : x
2. Step 2: Convert to fraction form
   110,403/257,539.50 = 257,539.50/x
3. Step 3: Cross multiply
   110,403x = 257,539.50 × 257,539.50
4. Step 4: Simplify right side
   110,403x = 66,326,594,060.25
5. Step 5: Solve for x
   x = 66,326,594,060.25/110,403
6. Step 6: Final answer
   x = 600,768.04