Finding the Third Proportional to 103,624 and 225,980

Step by Step Solution

1. Step 1: Write the proportion equation
   103,624 : 225,980 = 225,980 : x
2. Step 2: Convert to fraction form
   103,624/225,980 = 225,980/x
3. Step 3: Cross multiply
   103,624x = 225,980 × 225,980
4. Step 4: Simplify right side
   103,624x = 51,066,960,400
5. Step 5: Solve for x
   x = 51,066,960,400/103,624
6. Step 6: Final answer
   x = 492,810.16