Finding the Third Proportional to 49,278 and 102,055

Step by Step Solution

1. Step 1: Write the proportion equation
   49,278 : 102,055 = 102,055 : x
2. Step 2: Convert to fraction form
   49,278/102,055 = 102,055/x
3. Step 3: Cross multiply
   49,278x = 102,055 × 102,055
4. Step 4: Simplify right side
   49,278x = 10,415,223,025
5. Step 5: Solve for x
   x = 10,415,223,025/49,278
6. Step 6: Final answer
   x = 211,356.45