Finding the Third Proportional to 53,260 and 113,006

Step by Step Solution

1. Step 1: Write the proportion equation
   53,260 : 113,006 = 113,006 : x
2. Step 2: Convert to fraction form
   53,260/113,006 = 113,006/x
3. Step 3: Cross multiply
   53,260x = 113,006 × 113,006
4. Step 4: Simplify right side
   53,260x = 12,770,356,036
5. Step 5: Solve for x
   x = 12,770,356,036/53,260
6. Step 6: Final answer
   x = 239,773.86