Finding the Third Proportional to 48,964.50 and 114,959.25

Step by Step Solution

1. Step 1: Write the proportion equation
   48,964.50 : 114,959.25 = 114,959.25 : x
2. Step 2: Convert to fraction form
   48,964.50/114,959.25 = 114,959.25/x
3. Step 3: Cross multiply
   48,964.50x = 114,959.25 × 114,959.25
4. Step 4: Simplify right side
   48,964.50x = 13,215,629,160.56
5. Step 5: Solve for x
   x = 13,215,629,160.56/48,964.50
6. Step 6: Final answer
   x = 269,902.26