Finding the Third Proportional to 196,567.50 and 294,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,567.50 : 294,538.50 = 294,538.50 : x
2. Step 2: Convert to fraction form
   196,567.50/294,538.50 = 294,538.50/x
3. Step 3: Cross multiply
   196,567.50x = 294,538.50 × 294,538.50
4. Step 4: Simplify right side
   196,567.50x = 86,752,927,982.25
5. Step 5: Solve for x
   x = 86,752,927,982.25/196,567.50
6. Step 6: Final answer
   x = 441,339.12