Finding the Third Proportional to 196,562 and 294,534.63

Step by Step Solution

1. Step 1: Write the proportion equation
   196,562 : 294,534.63 = 294,534.63 : x
2. Step 2: Convert to fraction form
   196,562/294,534.63 = 294,534.63/x
3. Step 3: Cross multiply
   196,562x = 294,534.63 × 294,534.63
4. Step 4: Simplify right side
   196,562x = 86,750,645,323.89
5. Step 5: Solve for x
   x = 86,750,645,323.89/196,562
6. Step 6: Final answer
   x = 441,339.86