Finding the Third Proportional to 95,256 and 209,948.25

Step by Step Solution

1. Step 1: Write the proportion equation
   95,256 : 209,948.25 = 209,948.25 : x
2. Step 2: Convert to fraction form
   95,256/209,948.25 = 209,948.25/x
3. Step 3: Cross multiply
   95,256x = 209,948.25 × 209,948.25
4. Step 4: Simplify right side
   95,256x = 44,078,267,678.06
5. Step 5: Solve for x
   x = 44,078,267,678.06/95,256
6. Step 6: Final answer
   x = 462,734.82