Finding the Third Proportional to 145,909 and 208,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,909 : 208,648.50 = 208,648.50 : x
2. Step 2: Convert to fraction form
   145,909/208,648.50 = 208,648.50/x
3. Step 3: Cross multiply
   145,909x = 208,648.50 × 208,648.50
4. Step 4: Simplify right side
   145,909x = 43,534,196,552.25
5. Step 5: Solve for x
   x = 43,534,196,552.25/145,909
6. Step 6: Final answer
   x = 298,365.40