Finding the Third Proportional to 333,886 and 684,174

Step by Step Solution

1. Step 1: Write the proportion equation
   333,886 : 684,174 = 684,174 : x
2. Step 2: Convert to fraction form
   333,886/684,174 = 684,174/x
3. Step 3: Cross multiply
   333,886x = 684,174 × 684,174
4. Step 4: Simplify right side
   333,886x = 468,094,062,276
5. Step 5: Solve for x
   x = 468,094,062,276/333,886
6. Step 6: Final answer
   x = 1,401,957.74