Finding the Third Proportional to 53,783 and 116,764

Step by Step Solution

1. Step 1: Write the proportion equation
   53,783 : 116,764 = 116,764 : x
2. Step 2: Convert to fraction form
   53,783/116,764 = 116,764/x
3. Step 3: Cross multiply
   53,783x = 116,764 × 116,764
4. Step 4: Simplify right side
   53,783x = 13,633,831,696
5. Step 5: Solve for x
   x = 13,633,831,696/53,783
6. Step 6: Final answer
   x = 253,497.05