Finding the Third Proportional to 141,872 and 214,500

Step by Step Solution

1. Step 1: Write the proportion equation
   141,872 : 214,500 = 214,500 : x
2. Step 2: Convert to fraction form
   141,872/214,500 = 214,500/x
3. Step 3: Cross multiply
   141,872x = 214,500 × 214,500
4. Step 4: Simplify right side
   141,872x = 46,010,250,000
5. Step 5: Solve for x
   x = 46,010,250,000/141,872
6. Step 6: Final answer
   x = 324,308.18