Finding the Third Proportional to 53,380 and 123,560

Step by Step Solution

1. Step 1: Write the proportion equation
   53,380 : 123,560 = 123,560 : x
2. Step 2: Convert to fraction form
   53,380/123,560 = 123,560/x
3. Step 3: Cross multiply
   53,380x = 123,560 × 123,560
4. Step 4: Simplify right side
   53,380x = 15,267,073,600
5. Step 5: Solve for x
   x = 15,267,073,600/53,380
6. Step 6: Final answer
   x = 286,007.37