Finding the Third Proportional to 89,629.31 and 196,754.63

Step by Step Solution

1. Step 1: Write the proportion equation
   89,629.31 : 196,754.63 = 196,754.63 : x
2. Step 2: Convert to fraction form
   89,629.31/196,754.63 = 196,754.63/x
3. Step 3: Cross multiply
   89,629.31x = 196,754.63 × 196,754.63
4. Step 4: Simplify right side
   89,629.31x = 38,712,382,458.89
5. Step 5: Solve for x
   x = 38,712,382,458.89/89,629.31
6. Step 6: Final answer
   x = 431,916.54