Finding the Third Proportional to 95,850 and 205,578

Step by Step Solution

1. Step 1: Write the proportion equation
   95,850 : 205,578 = 205,578 : x
2. Step 2: Convert to fraction form
   95,850/205,578 = 205,578/x
3. Step 3: Cross multiply
   95,850x = 205,578 × 205,578
4. Step 4: Simplify right side
   95,850x = 42,262,314,084
5. Step 5: Solve for x
   x = 42,262,314,084/95,850
6. Step 6: Final answer
   x = 440,921.38