Finding the Third Proportional to 49,225 and 100,525

Step by Step Solution

1. Step 1: Write the proportion equation
   49,225 : 100,525 = 100,525 : x
2. Step 2: Convert to fraction form
   49,225/100,525 = 100,525/x
3. Step 3: Cross multiply
   49,225x = 100,525 × 100,525
4. Step 4: Simplify right side
   49,225x = 10,105,275,625
5. Step 5: Solve for x
   x = 10,105,275,625/49,225
6. Step 6: Final answer
   x = 205,287.47