Finding the Third Proportional to 120,478.50 and 254,520

Step by Step Solution

1. Step 1: Write the proportion equation
   120,478.50 : 254,520 = 254,520 : x
2. Step 2: Convert to fraction form
   120,478.50/254,520 = 254,520/x
3. Step 3: Cross multiply
   120,478.50x = 254,520 × 254,520
4. Step 4: Simplify right side
   120,478.50x = 64,780,430,400
5. Step 5: Solve for x
   x = 64,780,430,400/120,478.50
6. Step 6: Final answer
   x = 537,692.87