Finding the Third Proportional to 333,884 and 731,434

Step by Step Solution

1. Step 1: Write the proportion equation
   333,884 : 731,434 = 731,434 : x
2. Step 2: Convert to fraction form
   333,884/731,434 = 731,434/x
3. Step 3: Cross multiply
   333,884x = 731,434 × 731,434
4. Step 4: Simplify right side
   333,884x = 534,995,696,356
5. Step 5: Solve for x
   x = 534,995,696,356/333,884
6. Step 6: Final answer
   x = 1,602,340.02