Finding the Third Proportional to 144,393 and 337,364

Step by Step Solution

1. Step 1: Write the proportion equation
   144,393 : 337,364 = 337,364 : x
2. Step 2: Convert to fraction form
   144,393/337,364 = 337,364/x
3. Step 3: Cross multiply
   144,393x = 337,364 × 337,364
4. Step 4: Simplify right side
   144,393x = 113,814,468,496
5. Step 5: Solve for x
   x = 113,814,468,496/144,393
6. Step 6: Final answer
   x = 788,227.05