Finding the Third Proportional to 190,399.50 and 413,577

Step by Step Solution

1. Step 1: Write the proportion equation
   190,399.50 : 413,577 = 413,577 : x
2. Step 2: Convert to fraction form
   190,399.50/413,577 = 413,577/x
3. Step 3: Cross multiply
   190,399.50x = 413,577 × 413,577
4. Step 4: Simplify right side
   190,399.50x = 171,045,934,929
5. Step 5: Solve for x
   x = 171,045,934,929/190,399.50
6. Step 6: Final answer
   x = 898,352.86