Finding the Third Proportional to 252,749 and 380,150

Step by Step Solution

1. Step 1: Write the proportion equation
   252,749 : 380,150 = 380,150 : x
2. Step 2: Convert to fraction form
   252,749/380,150 = 380,150/x
3. Step 3: Cross multiply
   252,749x = 380,150 × 380,150
4. Step 4: Simplify right side
   252,749x = 144,514,022,500
5. Step 5: Solve for x
   x = 144,514,022,500/252,749
6. Step 6: Final answer
   x = 571,768.92