Finding the Third Proportional to 53,678 and 116,590

Step by Step Solution

1. Step 1: Write the proportion equation
   53,678 : 116,590 = 116,590 : x
2. Step 2: Convert to fraction form
   53,678/116,590 = 116,590/x
3. Step 3: Cross multiply
   53,678x = 116,590 × 116,590
4. Step 4: Simplify right side
   53,678x = 13,593,228,100
5. Step 5: Solve for x
   x = 13,593,228,100/53,678
6. Step 6: Final answer
   x = 253,236.49