Finding the Third Proportional to 53,763 and 116,853

Step by Step Solution

1. Step 1: Write the proportion equation
   53,763 : 116,853 = 116,853 : x
2. Step 2: Convert to fraction form
   53,763/116,853 = 116,853/x
3. Step 3: Cross multiply
   53,763x = 116,853 × 116,853
4. Step 4: Simplify right side
   53,763x = 13,654,623,609
5. Step 5: Solve for x
   x = 13,654,623,609/53,763
6. Step 6: Final answer
   x = 253,978.08