Finding the Third Proportional to 49,258 and 102,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,258 : 102,019.50 = 102,019.50 : x
2. Step 2: Convert to fraction form
   49,258/102,019.50 = 102,019.50/x
3. Step 3: Cross multiply
   49,258x = 102,019.50 × 102,019.50
4. Step 4: Simplify right side
   49,258x = 10,407,978,380.25
5. Step 5: Solve for x
   x = 10,407,978,380.25/49,258
6. Step 6: Final answer
   x = 211,295.19