Finding the Third Proportional to 145,665.25 and 196,805.63

Step by Step Solution

1. Step 1: Write the proportion equation
   145,665.25 : 196,805.63 = 196,805.63 : x
2. Step 2: Convert to fraction form
   145,665.25/196,805.63 = 196,805.63/x
3. Step 3: Cross multiply
   145,665.25x = 196,805.63 × 196,805.63
4. Step 4: Simplify right side
   145,665.25x = 38,732,454,031.64
5. Step 5: Solve for x
   x = 38,732,454,031.64/145,665.25
6. Step 6: Final answer
   x = 265,900.44