Finding the Third Proportional to 190,849.50 and 414,585

Step by Step Solution

1. Step 1: Write the proportion equation
   190,849.50 : 414,585 = 414,585 : x
2. Step 2: Convert to fraction form
   190,849.50/414,585 = 414,585/x
3. Step 3: Cross multiply
   190,849.50x = 414,585 × 414,585
4. Step 4: Simplify right side
   190,849.50x = 171,880,722,225
5. Step 5: Solve for x
   x = 171,880,722,225/190,849.50
6. Step 6: Final answer
   x = 900,608.71