Finding the Third Proportional to 53,792 and 114,996

Step by Step Solution

1. Step 1: Write the proportion equation
   53,792 : 114,996 = 114,996 : x
2. Step 2: Convert to fraction form
   53,792/114,996 = 114,996/x
3. Step 3: Cross multiply
   53,792x = 114,996 × 114,996
4. Step 4: Simplify right side
   53,792x = 13,224,080,016
5. Step 5: Solve for x
   x = 13,224,080,016/53,792
6. Step 6: Final answer
   x = 245,837.30