Finding the Third Proportional to 143,424 and 214,164

Step by Step Solution

1. Step 1: Write the proportion equation
   143,424 : 214,164 = 214,164 : x
2. Step 2: Convert to fraction form
   143,424/214,164 = 214,164/x
3. Step 3: Cross multiply
   143,424x = 214,164 × 214,164
4. Step 4: Simplify right side
   143,424x = 45,866,218,896
5. Step 5: Solve for x
   x = 45,866,218,896/143,424
6. Step 6: Final answer
   x = 319,794.59