Finding the Third Proportional to 105,225 and 230,132

Step by Step Solution

1. Step 1: Write the proportion equation
   105,225 : 230,132 = 230,132 : x
2. Step 2: Convert to fraction form
   105,225/230,132 = 230,132/x
3. Step 3: Cross multiply
   105,225x = 230,132 × 230,132
4. Step 4: Simplify right side
   105,225x = 52,960,737,424
5. Step 5: Solve for x
   x = 52,960,737,424/105,225
6. Step 6: Final answer
   x = 503,309.46