Finding the Third Proportional to 333,478 and 730,206

Step by Step Solution

1. Step 1: Write the proportion equation
   333,478 : 730,206 = 730,206 : x
2. Step 2: Convert to fraction form
   333,478/730,206 = 730,206/x
3. Step 3: Cross multiply
   333,478x = 730,206 × 730,206
4. Step 4: Simplify right side
   333,478x = 533,200,802,436
5. Step 5: Solve for x
   x = 533,200,802,436/333,478
6. Step 6: Final answer
   x = 1,598,908.48