Finding the Third Proportional to 49,458 and 116,701.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,458 : 116,701.50 = 116,701.50 : x
2. Step 2: Convert to fraction form
   49,458/116,701.50 = 116,701.50/x
3. Step 3: Cross multiply
   49,458x = 116,701.50 × 116,701.50
4. Step 4: Simplify right side
   49,458x = 13,619,240,102.25
5. Step 5: Solve for x
   x = 13,619,240,102.25/49,458
6. Step 6: Final answer
   x = 275,369.81