Finding the Third Proportional to 53,466 and 116,954

Step by Step Solution

1. Step 1: Write the proportion equation
   53,466 : 116,954 = 116,954 : x
2. Step 2: Convert to fraction form
   53,466/116,954 = 116,954/x
3. Step 3: Cross multiply
   53,466x = 116,954 × 116,954
4. Step 4: Simplify right side
   53,466x = 13,678,238,116
5. Step 5: Solve for x
   x = 13,678,238,116/53,466
6. Step 6: Final answer
   x = 255,830.59