Finding the Third Proportional to 296,427.50 and 443,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   296,427.50 : 443,829.50 = 443,829.50 : x
2. Step 2: Convert to fraction form
   296,427.50/443,829.50 = 443,829.50/x
3. Step 3: Cross multiply
   296,427.50x = 443,829.50 × 443,829.50
4. Step 4: Simplify right side
   296,427.50x = 196,984,625,070.25
5. Step 5: Solve for x
   x = 196,984,625,070.25/296,427.50
6. Step 6: Final answer
   x = 664,528.85