Finding the Third Proportional to 105,059 and 233,446

Step by Step Solution

1. Step 1: Write the proportion equation
   105,059 : 233,446 = 233,446 : x
2. Step 2: Convert to fraction form
   105,059/233,446 = 233,446/x
3. Step 3: Cross multiply
   105,059x = 233,446 × 233,446
4. Step 4: Simplify right side
   105,059x = 54,497,034,916
5. Step 5: Solve for x
   x = 54,497,034,916/105,059
6. Step 6: Final answer
   x = 518,727.90