Finding the Third Proportional to 106,746 and 229,986.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,746 : 229,986.50 = 229,986.50 : x
2. Step 2: Convert to fraction form
   106,746/229,986.50 = 229,986.50/x
3. Step 3: Cross multiply
   106,746x = 229,986.50 × 229,986.50
4. Step 4: Simplify right side
   106,746x = 52,893,790,182.25
5. Step 5: Solve for x
   x = 52,893,790,182.25/106,746
6. Step 6: Final answer
   x = 495,510.75