Finding the Third Proportional to 53,456 and 116,021

Step by Step Solution

1. Step 1: Write the proportion equation
   53,456 : 116,021 = 116,021 : x
2. Step 2: Convert to fraction form
   53,456/116,021 = 116,021/x
3. Step 3: Cross multiply
   53,456x = 116,021 × 116,021
4. Step 4: Simplify right side
   53,456x = 13,460,872,441
5. Step 5: Solve for x
   x = 13,460,872,441/53,456
6. Step 6: Final answer
   x = 251,812.19