Finding the Third Proportional to 145,654.50 and 196,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,654.50 : 196,789.50 = 196,789.50 : x
2. Step 2: Convert to fraction form
   145,654.50/196,789.50 = 196,789.50/x
3. Step 3: Cross multiply
   145,654.50x = 196,789.50 × 196,789.50
4. Step 4: Simplify right side
   145,654.50x = 38,726,107,310.25
5. Step 5: Solve for x
   x = 38,726,107,310.25/145,654.50
6. Step 6: Final answer
   x = 265,876.49