Finding the Third Proportional to 190,969.31 and 414,795.94

Step by Step Solution

1. Step 1: Write the proportion equation
   190,969.31 : 414,795.94 = 414,795.94 : x
2. Step 2: Convert to fraction form
   190,969.31/414,795.94 = 414,795.94/x
3. Step 3: Cross multiply
   190,969.31x = 414,795.94 × 414,795.94
4. Step 4: Simplify right side
   190,969.31x = 172,055,669,766.50
5. Step 5: Solve for x
   x = 172,055,669,766.50/190,969.31
6. Step 6: Final answer
   x = 900,959.78