Finding the Third Proportional to 53,768 and 123,412

Step by Step Solution

1. Step 1: Write the proportion equation
   53,768 : 123,412 = 123,412 : x
2. Step 2: Convert to fraction form
   53,768/123,412 = 123,412/x
3. Step 3: Cross multiply
   53,768x = 123,412 × 123,412
4. Step 4: Simplify right side
   53,768x = 15,230,521,744
5. Step 5: Solve for x
   x = 15,230,521,744/53,768
6. Step 6: Final answer
   x = 283,263.68