Finding the Third Proportional to 106,624 and 229,650.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,624 : 229,650.50 = 229,650.50 : x
2. Step 2: Convert to fraction form
   106,624/229,650.50 = 229,650.50/x
3. Step 3: Cross multiply
   106,624x = 229,650.50 × 229,650.50
4. Step 4: Simplify right side
   106,624x = 52,739,352,150.25
5. Step 5: Solve for x
   x = 52,739,352,150.25/106,624
6. Step 6: Final answer
   x = 494,629.28