Finding the Third Proportional to 53,834 and 116,284

Step by Step Solution

1. Step 1: Write the proportion equation
   53,834 : 116,284 = 116,284 : x
2. Step 2: Convert to fraction form
   53,834/116,284 = 116,284/x
3. Step 3: Cross multiply
   53,834x = 116,284 × 116,284
4. Step 4: Simplify right side
   53,834x = 13,521,968,656
5. Step 5: Solve for x
   x = 13,521,968,656/53,834
6. Step 6: Final answer
   x = 251,178.97