Finding the Third Proportional to 145,878 and 208,605

Step by Step Solution

1. Step 1: Write the proportion equation
   145,878 : 208,605 = 208,605 : x
2. Step 2: Convert to fraction form
   145,878/208,605 = 208,605/x
3. Step 3: Cross multiply
   145,878x = 208,605 × 208,605
4. Step 4: Simplify right side
   145,878x = 43,516,046,025
5. Step 5: Solve for x
   x = 43,516,046,025/145,878
6. Step 6: Final answer
   x = 298,304.38