Finding the Third Proportional to 65,902 and 155,504

Step by Step Solution

1. Step 1: Write the proportion equation
   65,902 : 155,504 = 155,504 : x
2. Step 2: Convert to fraction form
   65,902/155,504 = 155,504/x
3. Step 3: Cross multiply
   65,902x = 155,504 × 155,504
4. Step 4: Simplify right side
   65,902x = 24,181,494,016
5. Step 5: Solve for x
   x = 24,181,494,016/65,902
6. Step 6: Final answer
   x = 366,931.11