Finding the Third Proportional to 52,344 and 116,298

Step by Step Solution

1. Step 1: Write the proportion equation
   52,344 : 116,298 = 116,298 : x
2. Step 2: Convert to fraction form
   52,344/116,298 = 116,298/x
3. Step 3: Cross multiply
   52,344x = 116,298 × 116,298
4. Step 4: Simplify right side
   52,344x = 13,525,224,804
5. Step 5: Solve for x
   x = 13,525,224,804/52,344
6. Step 6: Final answer
   x = 258,391.12