Finding the Third Proportional to 101,791.69 and 206,352.56

Step by Step Solution

1. Step 1: Write the proportion equation
   101,791.69 : 206,352.56 = 206,352.56 : x
2. Step 2: Convert to fraction form
   101,791.69/206,352.56 = 206,352.56/x
3. Step 3: Cross multiply
   101,791.69x = 206,352.56 × 206,352.56
4. Step 4: Simplify right side
   101,791.69x = 42,581,380,050.32
5. Step 5: Solve for x
   x = 42,581,380,050.32/101,791.69
6. Step 6: Final answer
   x = 418,318.83