Finding the Third Proportional to 48,969 and 114,969

Step by Step Solution

1. Step 1: Write the proportion equation
   48,969 : 114,969 = 114,969 : x
2. Step 2: Convert to fraction form
   48,969/114,969 = 114,969/x
3. Step 3: Cross multiply
   48,969x = 114,969 × 114,969
4. Step 4: Simplify right side
   48,969x = 13,217,870,961
5. Step 5: Solve for x
   x = 13,217,870,961/48,969
6. Step 6: Final answer
   x = 269,923.24