Finding the Third Proportional to 361,005 and 561,251

Step by Step Solution

1. Step 1: Write the proportion equation
   361,005 : 561,251 = 561,251 : x
2. Step 2: Convert to fraction form
   361,005/561,251 = 561,251/x
3. Step 3: Cross multiply
   361,005x = 561,251 × 561,251
4. Step 4: Simplify right side
   361,005x = 315,002,685,001
5. Step 5: Solve for x
   x = 315,002,685,001/361,005
6. Step 6: Final answer
   x = 872,571.53