Finding the Third Proportional to 105,326 and 233,980

Step by Step Solution

1. Step 1: Write the proportion equation
   105,326 : 233,980 = 233,980 : x
2. Step 2: Convert to fraction form
   105,326/233,980 = 233,980/x
3. Step 3: Cross multiply
   105,326x = 233,980 × 233,980
4. Step 4: Simplify right side
   105,326x = 54,746,640,400
5. Step 5: Solve for x
   x = 54,746,640,400/105,326
6. Step 6: Final answer
   x = 519,782.77