Finding the Third Proportional to 144,384 and 347,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,384 : 347,836.50 = 347,836.50 : x
2. Step 2: Convert to fraction form
   144,384/347,836.50 = 347,836.50/x
3. Step 3: Cross multiply
   144,384x = 347,836.50 × 347,836.50
4. Step 4: Simplify right side
   144,384x = 120,990,230,732.25
5. Step 5: Solve for x
   x = 120,990,230,732.25/144,384
6. Step 6: Final answer
   x = 837,975.33