Finding the Third Proportional to 140,958 and 206,145

Step by Step Solution

1. Step 1: Write the proportion equation
   140,958 : 206,145 = 206,145 : x
2. Step 2: Convert to fraction form
   140,958/206,145 = 206,145/x
3. Step 3: Cross multiply
   140,958x = 206,145 × 206,145
4. Step 4: Simplify right side
   140,958x = 42,495,761,025
5. Step 5: Solve for x
   x = 42,495,761,025/140,958
6. Step 6: Final answer
   x = 301,478.18