Finding the Third Proportional to 254,144 and 373,824

Step by Step Solution

1. Step 1: Write the proportion equation
   254,144 : 373,824 = 373,824 : x
2. Step 2: Convert to fraction form
   254,144/373,824 = 373,824/x
3. Step 3: Cross multiply
   254,144x = 373,824 × 373,824
4. Step 4: Simplify right side
   254,144x = 139,744,382,976
5. Step 5: Solve for x
   x = 139,744,382,976/254,144
6. Step 6: Final answer
   x = 549,863.00