Finding the Third Proportional to 105,092 and 233,512

Step by Step Solution

1. Step 1: Write the proportion equation
   105,092 : 233,512 = 233,512 : x
2. Step 2: Convert to fraction form
   105,092/233,512 = 233,512/x
3. Step 3: Cross multiply
   105,092x = 233,512 × 233,512
4. Step 4: Simplify right side
   105,092x = 54,527,854,144
5. Step 5: Solve for x
   x = 54,527,854,144/105,092
6. Step 6: Final answer
   x = 518,858.28