Finding the Third Proportional to 53,524 and 123,946

Step by Step Solution

1. Step 1: Write the proportion equation
   53,524 : 123,946 = 123,946 : x
2. Step 2: Convert to fraction form
   53,524/123,946 = 123,946/x
3. Step 3: Cross multiply
   53,524x = 123,946 × 123,946
4. Step 4: Simplify right side
   53,524x = 15,362,610,916
5. Step 5: Solve for x
   x = 15,362,610,916/53,524
6. Step 6: Final answer
   x = 287,022.85