Finding the Third Proportional to 269,848 and 389,850

Step by Step Solution

1. Step 1: Write the proportion equation
   269,848 : 389,850 = 389,850 : x
2. Step 2: Convert to fraction form
   269,848/389,850 = 389,850/x
3. Step 3: Cross multiply
   269,848x = 389,850 × 389,850
4. Step 4: Simplify right side
   269,848x = 151,983,022,500
5. Step 5: Solve for x
   x = 151,983,022,500/269,848
6. Step 6: Final answer
   x = 563,217.15