Finding the Third Proportional to 158,144 and 378,008

Step by Step Solution

1. Step 1: Write the proportion equation
   158,144 : 378,008 = 378,008 : x
2. Step 2: Convert to fraction form
   158,144/378,008 = 378,008/x
3. Step 3: Cross multiply
   158,144x = 378,008 × 378,008
4. Step 4: Simplify right side
   158,144x = 142,890,048,064
5. Step 5: Solve for x
   x = 142,890,048,064/158,144
6. Step 6: Final answer
   x = 903,543.91