Finding the Third Proportional to 142,291 and 206,091

Step by Step Solution

1. Step 1: Write the proportion equation
   142,291 : 206,091 = 206,091 : x
2. Step 2: Convert to fraction form
   142,291/206,091 = 206,091/x
3. Step 3: Cross multiply
   142,291x = 206,091 × 206,091
4. Step 4: Simplify right side
   142,291x = 42,473,500,281
5. Step 5: Solve for x
   x = 42,473,500,281/142,291
6. Step 6: Final answer
   x = 298,497.45