Finding the Third Proportional to 53,414 and 113,732

Step by Step Solution

1. Step 1: Write the proportion equation
   53,414 : 113,732 = 113,732 : x
2. Step 2: Convert to fraction form
   53,414/113,732 = 113,732/x
3. Step 3: Cross multiply
   53,414x = 113,732 × 113,732
4. Step 4: Simplify right side
   53,414x = 12,934,967,824
5. Step 5: Solve for x
   x = 12,934,967,824/53,414
6. Step 6: Final answer
   x = 242,164.37