Finding the Third Proportional to 414,403.50 and 623,142

Step by Step Solution

1. Step 1: Write the proportion equation
   414,403.50 : 623,142 = 623,142 : x
2. Step 2: Convert to fraction form
   414,403.50/623,142 = 623,142/x
3. Step 3: Cross multiply
   414,403.50x = 623,142 × 623,142
4. Step 4: Simplify right side
   414,403.50x = 388,305,952,164
5. Step 5: Solve for x
   x = 388,305,952,164/414,403.50
6. Step 6: Final answer
   x = 937,023.82