Finding the Third Proportional to 270,941 and 402,489.50

Step by Step Solution

1. Step 1: Write the proportion equation
   270,941 : 402,489.50 = 402,489.50 : x
2. Step 2: Convert to fraction form
   270,941/402,489.50 = 402,489.50/x
3. Step 3: Cross multiply
   270,941x = 402,489.50 × 402,489.50
4. Step 4: Simplify right side
   270,941x = 161,997,797,610.25
5. Step 5: Solve for x
   x = 161,997,797,610.25/270,941
6. Step 6: Final answer
   x = 597,908.02