Finding the Third Proportional to 142,848 and 311,094

Step by Step Solution

1. Step 1: Write the proportion equation
   142,848 : 311,094 = 311,094 : x
2. Step 2: Convert to fraction form
   142,848/311,094 = 311,094/x
3. Step 3: Cross multiply
   142,848x = 311,094 × 311,094
4. Step 4: Simplify right side
   142,848x = 96,779,476,836
5. Step 5: Solve for x
   x = 96,779,476,836/142,848
6. Step 6: Final answer
   x = 677,499.70