Finding the Third Proportional to 49,275 and 102,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,275 : 102,055.50 = 102,055.50 : x
2. Step 2: Convert to fraction form
   49,275/102,055.50 = 102,055.50/x
3. Step 3: Cross multiply
   49,275x = 102,055.50 × 102,055.50
4. Step 4: Simplify right side
   49,275x = 10,415,325,080.25
5. Step 5: Solve for x
   x = 10,415,325,080.25/49,275
6. Step 6: Final answer
   x = 211,371.39