Finding the Third Proportional to 53,366 and 123,533

Step by Step Solution

1. Step 1: Write the proportion equation
   53,366 : 123,533 = 123,533 : x
2. Step 2: Convert to fraction form
   53,366/123,533 = 123,533/x
3. Step 3: Cross multiply
   53,366x = 123,533 × 123,533
4. Step 4: Simplify right side
   53,366x = 15,260,402,089
5. Step 5: Solve for x
   x = 15,260,402,089/53,366
6. Step 6: Final answer
   x = 285,957.39