Finding the Third Proportional to 414,051 and 623,150

Step by Step Solution

1. Step 1: Write the proportion equation
   414,051 : 623,150 = 623,150 : x
2. Step 2: Convert to fraction form
   414,051/623,150 = 623,150/x
3. Step 3: Cross multiply
   414,051x = 623,150 × 623,150
4. Step 4: Simplify right side
   414,051x = 388,315,922,500
5. Step 5: Solve for x
   x = 388,315,922,500/414,051
6. Step 6: Final answer
   x = 937,845.63