Finding the Third Proportional to 106,870 and 229,462

Step by Step Solution

1. Step 1: Write the proportion equation
   106,870 : 229,462 = 229,462 : x
2. Step 2: Convert to fraction form
   106,870/229,462 = 229,462/x
3. Step 3: Cross multiply
   106,870x = 229,462 × 229,462
4. Step 4: Simplify right side
   106,870x = 52,652,809,444
5. Step 5: Solve for x
   x = 52,652,809,444/106,870
6. Step 6: Final answer
   x = 492,680.92