Finding the Third Proportional to 106,658 and 229,144.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,658 : 229,144.50 = 229,144.50 : x
2. Step 2: Convert to fraction form
   106,658/229,144.50 = 229,144.50/x
3. Step 3: Cross multiply
   106,658x = 229,144.50 × 229,144.50
4. Step 4: Simplify right side
   106,658x = 52,507,201,880.25
5. Step 5: Solve for x
   x = 52,507,201,880.25/106,658
6. Step 6: Final answer
   x = 492,295.02