Finding the Third Proportional to 380,200.50 and 531,549

Step by Step Solution

1. Step 1: Write the proportion equation
   380,200.50 : 531,549 = 531,549 : x
2. Step 2: Convert to fraction form
   380,200.50/531,549 = 531,549/x
3. Step 3: Cross multiply
   380,200.50x = 531,549 × 531,549
4. Step 4: Simplify right side
   380,200.50x = 282,544,339,401
5. Step 5: Solve for x
   x = 282,544,339,401/380,200.50
6. Step 6: Final answer
   x = 743,145.63