Finding the Third Proportional to 105,232.50 and 225,423

Step by Step Solution

1. Step 1: Write the proportion equation
   105,232.50 : 225,423 = 225,423 : x
2. Step 2: Convert to fraction form
   105,232.50/225,423 = 225,423/x
3. Step 3: Cross multiply
   105,232.50x = 225,423 × 225,423
4. Step 4: Simplify right side
   105,232.50x = 50,815,528,929
5. Step 5: Solve for x
   x = 50,815,528,929/105,232.50
6. Step 6: Final answer
   x = 482,888.17