Finding the Third Proportional to 53,780 and 116,758

Step by Step Solution

1. Step 1: Write the proportion equation
   53,780 : 116,758 = 116,758 : x
2. Step 2: Convert to fraction form
   53,780/116,758 = 116,758/x
3. Step 3: Cross multiply
   53,780x = 116,758 × 116,758
4. Step 4: Simplify right side
   53,780x = 13,632,430,564
5. Step 5: Solve for x
   x = 13,632,430,564/53,780
6. Step 6: Final answer
   x = 253,485.14