Finding the Third Proportional to 95,204 and 209,094

Step by Step Solution

1. Step 1: Write the proportion equation
   95,204 : 209,094 = 209,094 : x
2. Step 2: Convert to fraction form
   95,204/209,094 = 209,094/x
3. Step 3: Cross multiply
   95,204x = 209,094 × 209,094
4. Step 4: Simplify right side
   95,204x = 43,720,300,836
5. Step 5: Solve for x
   x = 43,720,300,836/95,204
6. Step 6: Final answer
   x = 459,227.56