Finding the Third Proportional to 196,563 and 294,535.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,563 : 294,535.50 = 294,535.50 : x
2. Step 2: Convert to fraction form
   196,563/294,535.50 = 294,535.50/x
3. Step 3: Cross multiply
   196,563x = 294,535.50 × 294,535.50
4. Step 4: Simplify right side
   196,563x = 86,751,160,760.25
5. Step 5: Solve for x
   x = 86,751,160,760.25/196,563
6. Step 6: Final answer
   x = 441,340.24