Finding the Third Proportional to 53,382 and 123,565

Step by Step Solution

1. Step 1: Write the proportion equation
   53,382 : 123,565 = 123,565 : x
2. Step 2: Convert to fraction form
   53,382/123,565 = 123,565/x
3. Step 3: Cross multiply
   53,382x = 123,565 × 123,565
4. Step 4: Simplify right side
   53,382x = 15,268,309,225
5. Step 5: Solve for x
   x = 15,268,309,225/53,382
6. Step 6: Final answer
   x = 286,019.80