Finding the Third Proportional to 53,969 and 117,764

Step by Step Solution

1. Step 1: Write the proportion equation
   53,969 : 117,764 = 117,764 : x
2. Step 2: Convert to fraction form
   53,969/117,764 = 117,764/x
3. Step 3: Cross multiply
   53,969x = 117,764 × 117,764
4. Step 4: Simplify right side
   53,969x = 13,868,359,696
5. Step 5: Solve for x
   x = 13,868,359,696/53,969
6. Step 6: Final answer
   x = 256,969.00