Finding the Third Proportional to 52,876 and 114,968

Step by Step Solution

1. Step 1: Write the proportion equation
   52,876 : 114,968 = 114,968 : x
2. Step 2: Convert to fraction form
   52,876/114,968 = 114,968/x
3. Step 3: Cross multiply
   52,876x = 114,968 × 114,968
4. Step 4: Simplify right side
   52,876x = 13,217,641,024
5. Step 5: Solve for x
   x = 13,217,641,024/52,876
6. Step 6: Final answer
   x = 249,974.30