Finding the Third Proportional to 142,182 and 311,148

Step by Step Solution

1. Step 1: Write the proportion equation
   142,182 : 311,148 = 311,148 : x
2. Step 2: Convert to fraction form
   142,182/311,148 = 311,148/x
3. Step 3: Cross multiply
   142,182x = 311,148 × 311,148
4. Step 4: Simplify right side
   142,182x = 96,813,077,904
5. Step 5: Solve for x
   x = 96,813,077,904/142,182
6. Step 6: Final answer
   x = 680,909.52