Finding the Third Proportional to 256,104 and 374,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,104 : 374,311.50 = 374,311.50 : x
2. Step 2: Convert to fraction form
   256,104/374,311.50 = 374,311.50/x
3. Step 3: Cross multiply
   256,104x = 374,311.50 × 374,311.50
4. Step 4: Simplify right side
   256,104x = 140,109,099,032.25
5. Step 5: Solve for x
   x = 140,109,099,032.25/256,104
6. Step 6: Final answer
   x = 547,078.92