Finding the Third Proportional to 49,144.50 and 101,205

Step by Step Solution

1. Step 1: Write the proportion equation
   49,144.50 : 101,205 = 101,205 : x
2. Step 2: Convert to fraction form
   49,144.50/101,205 = 101,205/x
3. Step 3: Cross multiply
   49,144.50x = 101,205 × 101,205
4. Step 4: Simplify right side
   49,144.50x = 10,242,452,025
5. Step 5: Solve for x
   x = 10,242,452,025/49,144.50
6. Step 6: Final answer
   x = 208,415.02