Finding the Third Proportional to 96,920 and 209,116

Step by Step Solution

1. Step 1: Write the proportion equation
   96,920 : 209,116 = 209,116 : x
2. Step 2: Convert to fraction form
   96,920/209,116 = 209,116/x
3. Step 3: Cross multiply
   96,920x = 209,116 × 209,116
4. Step 4: Simplify right side
   96,920x = 43,729,501,456
5. Step 5: Solve for x
   x = 43,729,501,456/96,920
6. Step 6: Final answer
   x = 451,191.72