Finding the Third Proportional to 53,380 and 123,561

Step by Step Solution

1. Step 1: Write the proportion equation
   53,380 : 123,561 = 123,561 : x
2. Step 2: Convert to fraction form
   53,380/123,561 = 123,561/x
3. Step 3: Cross multiply
   53,380x = 123,561 × 123,561
4. Step 4: Simplify right side
   53,380x = 15,267,320,721
5. Step 5: Solve for x
   x = 15,267,320,721/53,380
6. Step 6: Final answer
   x = 286,012.00