Finding the Third Proportional to 243,762 and 389,256

Step by Step Solution

1. Step 1: Write the proportion equation
   243,762 : 389,256 = 389,256 : x
2. Step 2: Convert to fraction form
   243,762/389,256 = 389,256/x
3. Step 3: Cross multiply
   243,762x = 389,256 × 389,256
4. Step 4: Simplify right side
   243,762x = 151,520,233,536
5. Step 5: Solve for x
   x = 151,520,233,536/243,762
6. Step 6: Final answer
   x = 621,590.87