Finding the Third Proportional to 53,300 and 123,404

Step by Step Solution

1. Step 1: Write the proportion equation
   53,300 : 123,404 = 123,404 : x
2. Step 2: Convert to fraction form
   53,300/123,404 = 123,404/x
3. Step 3: Cross multiply
   53,300x = 123,404 × 123,404
4. Step 4: Simplify right side
   53,300x = 15,228,547,216
5. Step 5: Solve for x
   x = 15,228,547,216/53,300
6. Step 6: Final answer
   x = 285,713.83