Finding the Third Proportional to 144,380 and 347,826

Step by Step Solution

1. Step 1: Write the proportion equation
   144,380 : 347,826 = 347,826 : x
2. Step 2: Convert to fraction form
   144,380/347,826 = 347,826/x
3. Step 3: Cross multiply
   144,380x = 347,826 × 347,826
4. Step 4: Simplify right side
   144,380x = 120,982,926,276
5. Step 5: Solve for x
   x = 120,982,926,276/144,380
6. Step 6: Final answer
   x = 837,947.96