Finding the Third Proportional to 53,381 and 123,564

Step by Step Solution

1. Step 1: Write the proportion equation
   53,381 : 123,564 = 123,564 : x
2. Step 2: Convert to fraction form
   53,381/123,564 = 123,564/x
3. Step 3: Cross multiply
   53,381x = 123,564 × 123,564
4. Step 4: Simplify right side
   53,381x = 15,268,062,096
5. Step 5: Solve for x
   x = 15,268,062,096/53,381
6. Step 6: Final answer
   x = 286,020.53