Finding the Third Proportional to 53,384 and 123,570

Step by Step Solution

1. Step 1: Write the proportion equation
   53,384 : 123,570 = 123,570 : x
2. Step 2: Convert to fraction form
   53,384/123,570 = 123,570/x
3. Step 3: Cross multiply
   53,384x = 123,570 × 123,570
4. Step 4: Simplify right side
   53,384x = 15,269,544,900
5. Step 5: Solve for x
   x = 15,269,544,900/53,384
6. Step 6: Final answer
   x = 286,032.24