Finding the Third Proportional to 145,882 and 208,610

Step by Step Solution

1. Step 1: Write the proportion equation
   145,882 : 208,610 = 208,610 : x
2. Step 2: Convert to fraction form
   145,882/208,610 = 208,610/x
3. Step 3: Cross multiply
   145,882x = 208,610 × 208,610
4. Step 4: Simplify right side
   145,882x = 43,518,132,100
5. Step 5: Solve for x
   x = 43,518,132,100/145,882
6. Step 6: Final answer
   x = 298,310.50