Finding the Third Proportional to 103,369 and 225,196

Step by Step Solution

1. Step 1: Write the proportion equation
   103,369 : 225,196 = 225,196 : x
2. Step 2: Convert to fraction form
   103,369/225,196 = 225,196/x
3. Step 3: Cross multiply
   103,369x = 225,196 × 225,196
4. Step 4: Simplify right side
   103,369x = 50,713,238,416
5. Step 5: Solve for x
   x = 50,713,238,416/103,369
6. Step 6: Final answer
   x = 490,603.94