Finding the Third Proportional to 53,680 and 116,582

Step by Step Solution

1. Step 1: Write the proportion equation
   53,680 : 116,582 = 116,582 : x
2. Step 2: Convert to fraction form
   53,680/116,582 = 116,582/x
3. Step 3: Cross multiply
   53,680x = 116,582 × 116,582
4. Step 4: Simplify right side
   53,680x = 13,591,362,724
5. Step 5: Solve for x
   x = 13,591,362,724/53,680
6. Step 6: Final answer
   x = 253,192.30