Finding the Third Proportional to 53,732 and 113,341

Step by Step Solution

1. Step 1: Write the proportion equation
   53,732 : 113,341 = 113,341 : x
2. Step 2: Convert to fraction form
   53,732/113,341 = 113,341/x
3. Step 3: Cross multiply
   53,732x = 113,341 × 113,341
4. Step 4: Simplify right side
   53,732x = 12,846,182,281
5. Step 5: Solve for x
   x = 12,846,182,281/53,732
6. Step 6: Final answer
   x = 239,078.80