Finding the Third Proportional to 53,308 and 123,423

Step by Step Solution

1. Step 1: Write the proportion equation
   53,308 : 123,423 = 123,423 : x
2. Step 2: Convert to fraction form
   53,308/123,423 = 123,423/x
3. Step 3: Cross multiply
   53,308x = 123,423 × 123,423
4. Step 4: Simplify right side
   53,308x = 15,233,236,929
5. Step 5: Solve for x
   x = 15,233,236,929/53,308
6. Step 6: Final answer
   x = 285,758.93