Finding the Third Proportional to 105,057 and 233,442

Step by Step Solution

1. Step 1: Write the proportion equation
   105,057 : 233,442 = 233,442 : x
2. Step 2: Convert to fraction form
   105,057/233,442 = 233,442/x
3. Step 3: Cross multiply
   105,057x = 233,442 × 233,442
4. Step 4: Simplify right side
   105,057x = 54,495,167,364
5. Step 5: Solve for x
   x = 54,495,167,364/105,057
6. Step 6: Final answer
   x = 518,720.00