Finding the Third Proportional to 414,456.50 and 623,223

Step by Step Solution

1. Step 1: Write the proportion equation
   414,456.50 : 623,223 = 623,223 : x
2. Step 2: Convert to fraction form
   414,456.50/623,223 = 623,223/x
3. Step 3: Cross multiply
   414,456.50x = 623,223 × 623,223
4. Step 4: Simplify right side
   414,456.50x = 388,406,907,729
5. Step 5: Solve for x
   x = 388,406,907,729/414,456.50
6. Step 6: Final answer
   x = 937,147.58