Finding the Third Proportional to 414,666 and 623,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,666 : 623,578.50 = 623,578.50 : x
2. Step 2: Convert to fraction form
   414,666/623,578.50 = 623,578.50/x
3. Step 3: Cross multiply
   414,666x = 623,578.50 × 623,578.50
4. Step 4: Simplify right side
   414,666x = 388,850,145,662.25
5. Step 5: Solve for x
   x = 388,850,145,662.25/414,666
6. Step 6: Final answer
   x = 937,743.02