Finding the Third Proportional to 52,658 and 116,980

Step by Step Solution

1. Step 1: Write the proportion equation
   52,658 : 116,980 = 116,980 : x
2. Step 2: Convert to fraction form
   52,658/116,980 = 116,980/x
3. Step 3: Cross multiply
   52,658x = 116,980 × 116,980
4. Step 4: Simplify right side
   52,658x = 13,684,320,400
5. Step 5: Solve for x
   x = 13,684,320,400/52,658
6. Step 6: Final answer
   x = 259,871.63