Finding the Third Proportional to 53,752 and 116,834

Step by Step Solution

1. Step 1: Write the proportion equation
   53,752 : 116,834 = 116,834 : x
2. Step 2: Convert to fraction form
   53,752/116,834 = 116,834/x
3. Step 3: Cross multiply
   53,752x = 116,834 × 116,834
4. Step 4: Simplify right side
   53,752x = 13,650,183,556
5. Step 5: Solve for x
   x = 13,650,183,556/53,752
6. Step 6: Final answer
   x = 253,947.45