Finding the Third Proportional to 49,438.50 and 116,655

Step by Step Solution

1. Step 1: Write the proportion equation
   49,438.50 : 116,655 = 116,655 : x
2. Step 2: Convert to fraction form
   49,438.50/116,655 = 116,655/x
3. Step 3: Cross multiply
   49,438.50x = 116,655 × 116,655
4. Step 4: Simplify right side
   49,438.50x = 13,608,389,025
5. Step 5: Solve for x
   x = 13,608,389,025/49,438.50
6. Step 6: Final answer
   x = 275,258.94