Finding the Third Proportional to 105,320 and 233,968

Step by Step Solution

1. Step 1: Write the proportion equation
   105,320 : 233,968 = 233,968 : x
2. Step 2: Convert to fraction form
   105,320/233,968 = 233,968/x
3. Step 3: Cross multiply
   105,320x = 233,968 × 233,968
4. Step 4: Simplify right side
   105,320x = 54,741,025,024
5. Step 5: Solve for x
   x = 54,741,025,024/105,320
6. Step 6: Final answer
   x = 519,759.07