Finding the Third Proportional to 269,818 and 389,810

Step by Step Solution

1. Step 1: Write the proportion equation
   269,818 : 389,810 = 389,810 : x
2. Step 2: Convert to fraction form
   269,818/389,810 = 389,810/x
3. Step 3: Cross multiply
   269,818x = 389,810 × 389,810
4. Step 4: Simplify right side
   269,818x = 151,951,836,100
5. Step 5: Solve for x
   x = 151,951,836,100/269,818
6. Step 6: Final answer
   x = 563,164.19