Finding the Third Proportional to 53,694 and 116,946

Step by Step Solution

1. Step 1: Write the proportion equation
   53,694 : 116,946 = 116,946 : x
2. Step 2: Convert to fraction form
   53,694/116,946 = 116,946/x
3. Step 3: Cross multiply
   53,694x = 116,946 × 116,946
4. Step 4: Simplify right side
   53,694x = 13,676,366,916
5. Step 5: Solve for x
   x = 13,676,366,916/53,694
6. Step 6: Final answer
   x = 254,709.41