Finding the Third Proportional to 267,583.50 and 414,552

Step by Step Solution

1. Step 1: Write the proportion equation
   267,583.50 : 414,552 = 414,552 : x
2. Step 2: Convert to fraction form
   267,583.50/414,552 = 414,552/x
3. Step 3: Cross multiply
   267,583.50x = 414,552 × 414,552
4. Step 4: Simplify right side
   267,583.50x = 171,853,360,704
5. Step 5: Solve for x
   x = 171,853,360,704/267,583.50
6. Step 6: Final answer
   x = 642,241.99