Finding the Third Proportional to 53,398 and 113,380

Step by Step Solution

1. Step 1: Write the proportion equation
   53,398 : 113,380 = 113,380 : x
2. Step 2: Convert to fraction form
   53,398/113,380 = 113,380/x
3. Step 3: Cross multiply
   53,398x = 113,380 × 113,380
4. Step 4: Simplify right side
   53,398x = 12,855,024,400
5. Step 5: Solve for x
   x = 12,855,024,400/53,398
6. Step 6: Final answer
   x = 240,739.81