Finding the Third Proportional to 140,902 and 206,168

Step by Step Solution

1. Step 1: Write the proportion equation
   140,902 : 206,168 = 206,168 : x
2. Step 2: Convert to fraction form
   140,902/206,168 = 206,168/x
3. Step 3: Cross multiply
   140,902x = 206,168 × 206,168
4. Step 4: Simplify right side
   140,902x = 42,505,244,224
5. Step 5: Solve for x
   x = 42,505,244,224/140,902
6. Step 6: Final answer
   x = 301,665.30