Finding the Third Proportional to 105,520 and 230,624

Step by Step Solution

1. Step 1: Write the proportion equation
   105,520 : 230,624 = 230,624 : x
2. Step 2: Convert to fraction form
   105,520/230,624 = 230,624/x
3. Step 3: Cross multiply
   105,520x = 230,624 × 230,624
4. Step 4: Simplify right side
   105,520x = 53,187,429,376
5. Step 5: Solve for x
   x = 53,187,429,376/105,520
6. Step 6: Final answer
   x = 504,050.70