Finding the Third Proportional to 105,704 and 229,120

Step by Step Solution

1. Step 1: Write the proportion equation
   105,704 : 229,120 = 229,120 : x
2. Step 2: Convert to fraction form
   105,704/229,120 = 229,120/x
3. Step 3: Cross multiply
   105,704x = 229,120 × 229,120
4. Step 4: Simplify right side
   105,704x = 52,495,974,400
5. Step 5: Solve for x
   x = 52,495,974,400/105,704
6. Step 6: Final answer
   x = 496,631.86