Finding the Third Proportional to 53,336 and 123,478

Step by Step Solution

1. Step 1: Write the proportion equation
   53,336 : 123,478 = 123,478 : x
2. Step 2: Convert to fraction form
   53,336/123,478 = 123,478/x
3. Step 3: Cross multiply
   53,336x = 123,478 × 123,478
4. Step 4: Simplify right side
   53,336x = 15,246,816,484
5. Step 5: Solve for x
   x = 15,246,816,484/53,336
6. Step 6: Final answer
   x = 285,863.52