Finding the Third Proportional to 294,333 and 452,981

Step by Step Solution

1. Step 1: Write the proportion equation
   294,333 : 452,981 = 452,981 : x
2. Step 2: Convert to fraction form
   294,333/452,981 = 452,981/x
3. Step 3: Cross multiply
   294,333x = 452,981 × 452,981
4. Step 4: Simplify right side
   294,333x = 205,191,786,361
5. Step 5: Solve for x
   x = 205,191,786,361/294,333
6. Step 6: Final answer
   x = 697,141.63