Finding the Third Proportional to 49,440 and 116,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,440 : 116,659.50 = 116,659.50 : x
2. Step 2: Convert to fraction form
   49,440/116,659.50 = 116,659.50/x
3. Step 3: Cross multiply
   49,440x = 116,659.50 × 116,659.50
4. Step 4: Simplify right side
   49,440x = 13,609,438,940.25
5. Step 5: Solve for x
   x = 13,609,438,940.25/49,440
6. Step 6: Final answer
   x = 275,271.82