Finding the Third Proportional to 142,860 and 311,118

Step by Step Solution

1. Step 1: Write the proportion equation
   142,860 : 311,118 = 311,118 : x
2. Step 2: Convert to fraction form
   142,860/311,118 = 311,118/x
3. Step 3: Cross multiply
   142,860x = 311,118 × 311,118
4. Step 4: Simplify right side
   142,860x = 96,794,409,924
5. Step 5: Solve for x
   x = 96,794,409,924/142,860
6. Step 6: Final answer
   x = 677,547.32