Finding the Third Proportional to 53,274 and 116,916

Step by Step Solution

1. Step 1: Write the proportion equation
   53,274 : 116,916 = 116,916 : x
2. Step 2: Convert to fraction form
   53,274/116,916 = 116,916/x
3. Step 3: Cross multiply
   53,274x = 116,916 × 116,916
4. Step 4: Simplify right side
   53,274x = 13,669,351,056
5. Step 5: Solve for x
   x = 13,669,351,056/53,274
6. Step 6: Final answer
   x = 256,585.78