Finding the Third Proportional to 145,827 and 208,530

Step by Step Solution

1. Step 1: Write the proportion equation
   145,827 : 208,530 = 208,530 : x
2. Step 2: Convert to fraction form
   145,827/208,530 = 208,530/x
3. Step 3: Cross multiply
   145,827x = 208,530 × 208,530
4. Step 4: Simplify right side
   145,827x = 43,484,760,900
5. Step 5: Solve for x
   x = 43,484,760,900/145,827
6. Step 6: Final answer
   x = 298,194.17