Finding the Third Proportional to 106,703 and 233,494

Step by Step Solution

1. Step 1: Write the proportion equation
   106,703 : 233,494 = 233,494 : x
2. Step 2: Convert to fraction form
   106,703/233,494 = 233,494/x
3. Step 3: Cross multiply
   106,703x = 233,494 × 233,494
4. Step 4: Simplify right side
   106,703x = 54,519,448,036
5. Step 5: Solve for x
   x = 54,519,448,036/106,703
6. Step 6: Final answer
   x = 510,945.78