Finding the Third Proportional to 142,798 and 311,036

Step by Step Solution

1. Step 1: Write the proportion equation
   142,798 : 311,036 = 311,036 : x
2. Step 2: Convert to fraction form
   142,798/311,036 = 311,036/x
3. Step 3: Cross multiply
   142,798x = 311,036 × 311,036
4. Step 4: Simplify right side
   142,798x = 96,743,393,296
5. Step 5: Solve for x
   x = 96,743,393,296/142,798
6. Step 6: Final answer
   x = 677,484.23