Finding the Third Proportional to 140,906 and 206,174

Step by Step Solution

1. Step 1: Write the proportion equation
   140,906 : 206,174 = 206,174 : x
2. Step 2: Convert to fraction form
   140,906/206,174 = 206,174/x
3. Step 3: Cross multiply
   140,906x = 206,174 × 206,174
4. Step 4: Simplify right side
   140,906x = 42,507,718,276
5. Step 5: Solve for x
   x = 42,507,718,276/140,906
6. Step 6: Final answer
   x = 301,674.30