Finding the Third Proportional to 106,650 and 233,388

Step by Step Solution

1. Step 1: Write the proportion equation
   106,650 : 233,388 = 233,388 : x
2. Step 2: Convert to fraction form
   106,650/233,388 = 233,388/x
3. Step 3: Cross multiply
   106,650x = 233,388 × 233,388
4. Step 4: Simplify right side
   106,650x = 54,469,958,544
5. Step 5: Solve for x
   x = 54,469,958,544/106,650
6. Step 6: Final answer
   x = 510,735.66