Finding the Third Proportional to 254,898 and 382,443

Step by Step Solution

1. Step 1: Write the proportion equation
   254,898 : 382,443 = 382,443 : x
2. Step 2: Convert to fraction form
   254,898/382,443 = 382,443/x
3. Step 3: Cross multiply
   254,898x = 382,443 × 382,443
4. Step 4: Simplify right side
   254,898x = 146,262,648,249
5. Step 5: Solve for x
   x = 146,262,648,249/254,898
6. Step 6: Final answer
   x = 573,808.54