Finding the Third Proportional to 119,906 and 262,654

Step by Step Solution

1. Step 1: Write the proportion equation
   119,906 : 262,654 = 262,654 : x
2. Step 2: Convert to fraction form
   119,906/262,654 = 262,654/x
3. Step 3: Cross multiply
   119,906x = 262,654 × 262,654
4. Step 4: Simplify right side
   119,906x = 68,987,123,716
5. Step 5: Solve for x
   x = 68,987,123,716/119,906
6. Step 6: Final answer
   x = 575,343.38