Finding the Third Proportional to 52,882 and 114,980

Step by Step Solution

1. Step 1: Write the proportion equation
   52,882 : 114,980 = 114,980 : x
2. Step 2: Convert to fraction form
   52,882/114,980 = 114,980/x
3. Step 3: Cross multiply
   52,882x = 114,980 × 114,980
4. Step 4: Simplify right side
   52,882x = 13,220,400,400
5. Step 5: Solve for x
   x = 13,220,400,400/52,882
6. Step 6: Final answer
   x = 249,998.12