Finding the Third Proportional to 196,710.50 and 288,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,710.50 : 288,608.50 = 288,608.50 : x
2. Step 2: Convert to fraction form
   196,710.50/288,608.50 = 288,608.50/x
3. Step 3: Cross multiply
   196,710.50x = 288,608.50 × 288,608.50
4. Step 4: Simplify right side
   196,710.50x = 83,294,866,272.25
5. Step 5: Solve for x
   x = 83,294,866,272.25/196,710.50
6. Step 6: Final answer
   x = 423,438.84