Finding the Third Proportional to 251,514 and 380,522.25

Step by Step Solution

1. Step 1: Write the proportion equation
   251,514 : 380,522.25 = 380,522.25 : x
2. Step 2: Convert to fraction form
   251,514/380,522.25 = 380,522.25/x
3. Step 3: Cross multiply
   251,514x = 380,522.25 × 380,522.25
4. Step 4: Simplify right side
   251,514x = 144,797,182,745.06
5. Step 5: Solve for x
   x = 144,797,182,745.06/251,514
6. Step 6: Final answer
   x = 575,702.28