Finding the Third Proportional to 105,598 and 229,786

Step by Step Solution

1. Step 1: Write the proportion equation
   105,598 : 229,786 = 229,786 : x
2. Step 2: Convert to fraction form
   105,598/229,786 = 229,786/x
3. Step 3: Cross multiply
   105,598x = 229,786 × 229,786
4. Step 4: Simplify right side
   105,598x = 52,801,605,796
5. Step 5: Solve for x
   x = 52,801,605,796/105,598
6. Step 6: Final answer
   x = 500,024.68