Finding the Third Proportional to 145,819 and 208,521

Step by Step Solution

1. Step 1: Write the proportion equation
   145,819 : 208,521 = 208,521 : x
2. Step 2: Convert to fraction form
   145,819/208,521 = 208,521/x
3. Step 3: Cross multiply
   145,819x = 208,521 × 208,521
4. Step 4: Simplify right side
   145,819x = 43,481,007,441
5. Step 5: Solve for x
   x = 43,481,007,441/145,819
6. Step 6: Final answer
   x = 298,184.79