Finding the Third Proportional to 105,174 and 225,292

Step by Step Solution

1. Step 1: Write the proportion equation
   105,174 : 225,292 = 225,292 : x
2. Step 2: Convert to fraction form
   105,174/225,292 = 225,292/x
3. Step 3: Cross multiply
   105,174x = 225,292 × 225,292
4. Step 4: Simplify right side
   105,174x = 50,756,485,264
5. Step 5: Solve for x
   x = 50,756,485,264/105,174
6. Step 6: Final answer
   x = 482,595.37