Finding the Third Proportional to 53,790 and 116,778

Step by Step Solution

1. Step 1: Write the proportion equation
   53,790 : 116,778 = 116,778 : x
2. Step 2: Convert to fraction form
   53,790/116,778 = 116,778/x
3. Step 3: Cross multiply
   53,790x = 116,778 × 116,778
4. Step 4: Simplify right side
   53,790x = 13,637,101,284
5. Step 5: Solve for x
   x = 13,637,101,284/53,790
6. Step 6: Final answer
   x = 253,524.84