Finding the Third Proportional to 120,824 and 250,144

Step by Step Solution

1. Step 1: Write the proportion equation
   120,824 : 250,144 = 250,144 : x
2. Step 2: Convert to fraction form
   120,824/250,144 = 250,144/x
3. Step 3: Cross multiply
   120,824x = 250,144 × 250,144
4. Step 4: Simplify right side
   120,824x = 62,572,020,736
5. Step 5: Solve for x
   x = 62,572,020,736/120,824
6. Step 6: Final answer
   x = 517,877.41