Finding the Third Proportional to 53,356 and 123,508

Step by Step Solution

1. Step 1: Write the proportion equation
   53,356 : 123,508 = 123,508 : x
2. Step 2: Convert to fraction form
   53,356/123,508 = 123,508/x
3. Step 3: Cross multiply
   53,356x = 123,508 × 123,508
4. Step 4: Simplify right side
   53,356x = 15,254,226,064
5. Step 5: Solve for x
   x = 15,254,226,064/53,356
6. Step 6: Final answer
   x = 285,895.23