Finding the Third Proportional to 196,770.75 and 287,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,770.75 : 287,410.50 = 287,410.50 : x
2. Step 2: Convert to fraction form
   196,770.75/287,410.50 = 287,410.50/x
3. Step 3: Cross multiply
   196,770.75x = 287,410.50 × 287,410.50
4. Step 4: Simplify right side
   196,770.75x = 82,604,795,510.25
5. Step 5: Solve for x
   x = 82,604,795,510.25/196,770.75
6. Step 6: Final answer
   x = 419,802.21