Finding the Third Proportional to 53,786 and 116,770

Step by Step Solution

1. Step 1: Write the proportion equation
   53,786 : 116,770 = 116,770 : x
2. Step 2: Convert to fraction form
   53,786/116,770 = 116,770/x
3. Step 3: Cross multiply
   53,786x = 116,770 × 116,770
4. Step 4: Simplify right side
   53,786x = 13,635,232,900
5. Step 5: Solve for x
   x = 13,635,232,900/53,786
6. Step 6: Final answer
   x = 253,508.96