Finding the Third Proportional to 53,221 and 116,810

Step by Step Solution

1. Step 1: Write the proportion equation
   53,221 : 116,810 = 116,810 : x
2. Step 2: Convert to fraction form
   53,221/116,810 = 116,810/x
3. Step 3: Cross multiply
   53,221x = 116,810 × 116,810
4. Step 4: Simplify right side
   53,221x = 13,644,576,100
5. Step 5: Solve for x
   x = 13,644,576,100/53,221
6. Step 6: Final answer
   x = 256,375.79