Finding the Third Proportional to 106,869 and 229,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,869 : 229,459.50 = 229,459.50 : x
2. Step 2: Convert to fraction form
   106,869/229,459.50 = 229,459.50/x
3. Step 3: Cross multiply
   106,869x = 229,459.50 × 229,459.50
4. Step 4: Simplify right side
   106,869x = 52,651,662,140.25
5. Step 5: Solve for x
   x = 52,651,662,140.25/106,869
6. Step 6: Final answer
   x = 492,674.79