Finding the Third Proportional to 134,978 and 206,556

Step by Step Solution

1. Step 1: Write the proportion equation
   134,978 : 206,556 = 206,556 : x
2. Step 2: Convert to fraction form
   134,978/206,556 = 206,556/x
3. Step 3: Cross multiply
   134,978x = 206,556 × 206,556
4. Step 4: Simplify right side
   134,978x = 42,665,381,136
5. Step 5: Solve for x
   x = 42,665,381,136/134,978
6. Step 6: Final answer
   x = 316,091.37