Finding the Third Proportional to 72,363 and 111,827

Step by Step Solution

1. Step 1: Write the proportion equation
   72,363 : 111,827 = 111,827 : x
2. Step 2: Convert to fraction form
   72,363/111,827 = 111,827/x
3. Step 3: Cross multiply
   72,363x = 111,827 × 111,827
4. Step 4: Simplify right side
   72,363x = 12,505,277,929
5. Step 5: Solve for x
   x = 12,505,277,929/72,363
6. Step 6: Final answer
   x = 172,813.15