Finding the Third Proportional to 166,092 and 363,096

Step by Step Solution

1. Step 1: Write the proportion equation
   166,092 : 363,096 = 363,096 : x
2. Step 2: Convert to fraction form
   166,092/363,096 = 363,096/x
3. Step 3: Cross multiply
   166,092x = 363,096 × 363,096
4. Step 4: Simplify right side
   166,092x = 131,838,705,216
5. Step 5: Solve for x
   x = 131,838,705,216/166,092
6. Step 6: Final answer
   x = 793,769.15