Finding the Third Proportional to 105,465 and 229,170

Step by Step Solution

1. Step 1: Write the proportion equation
   105,465 : 229,170 = 229,170 : x
2. Step 2: Convert to fraction form
   105,465/229,170 = 229,170/x
3. Step 3: Cross multiply
   105,465x = 229,170 × 229,170
4. Step 4: Simplify right side
   105,465x = 52,518,888,900
5. Step 5: Solve for x
   x = 52,518,888,900/105,465
6. Step 6: Final answer
   x = 497,974.58