Finding the Third Proportional to 105,700 and 229,112

Step by Step Solution

1. Step 1: Write the proportion equation
   105,700 : 229,112 = 229,112 : x
2. Step 2: Convert to fraction form
   105,700/229,112 = 229,112/x
3. Step 3: Cross multiply
   105,700x = 229,112 × 229,112
4. Step 4: Simplify right side
   105,700x = 52,492,308,544
5. Step 5: Solve for x
   x = 52,492,308,544/105,700
6. Step 6: Final answer
   x = 496,615.97