Finding the Third Proportional to 105,330 and 233,988

Step by Step Solution

1. Step 1: Write the proportion equation
   105,330 : 233,988 = 233,988 : x
2. Step 2: Convert to fraction form
   105,330/233,988 = 233,988/x
3. Step 3: Cross multiply
   105,330x = 233,988 × 233,988
4. Step 4: Simplify right side
   105,330x = 54,750,384,144
5. Step 5: Solve for x
   x = 54,750,384,144/105,330
6. Step 6: Final answer
   x = 519,798.58