Finding the Third Proportional to 243,852 and 323,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   243,852 : 323,647.50 = 323,647.50 : x
2. Step 2: Convert to fraction form
   243,852/323,647.50 = 323,647.50/x
3. Step 3: Cross multiply
   243,852x = 323,647.50 × 323,647.50
4. Step 4: Simplify right side
   243,852x = 104,747,704,256.25
5. Step 5: Solve for x
   x = 104,747,704,256.25/243,852
6. Step 6: Final answer
   x = 429,554.42