Finding the Third Proportional to 95,516 and 205,128

Step by Step Solution

1. Step 1: Write the proportion equation
   95,516 : 205,128 = 205,128 : x
2. Step 2: Convert to fraction form
   95,516/205,128 = 205,128/x
3. Step 3: Cross multiply
   95,516x = 205,128 × 205,128
4. Step 4: Simplify right side
   95,516x = 42,077,496,384
5. Step 5: Solve for x
   x = 42,077,496,384/95,516
6. Step 6: Final answer
   x = 440,528.25