Finding the Third Proportional to 106,456.50 and 233,649

Step by Step Solution

1. Step 1: Write the proportion equation
   106,456.50 : 233,649 = 233,649 : x
2. Step 2: Convert to fraction form
   106,456.50/233,649 = 233,649/x
3. Step 3: Cross multiply
   106,456.50x = 233,649 × 233,649
4. Step 4: Simplify right side
   106,456.50x = 54,591,855,201
5. Step 5: Solve for x
   x = 54,591,855,201/106,456.50
6. Step 6: Final answer
   x = 512,809.04