Finding the Third Proportional to 53,756 and 116,842

Step by Step Solution

1. Step 1: Write the proportion equation
   53,756 : 116,842 = 116,842 : x
2. Step 2: Convert to fraction form
   53,756/116,842 = 116,842/x
3. Step 3: Cross multiply
   53,756x = 116,842 × 116,842
4. Step 4: Simplify right side
   53,756x = 13,652,052,964
5. Step 5: Solve for x
   x = 13,652,052,964/53,756
6. Step 6: Final answer
   x = 253,963.33