Finding the Third Proportional to 416,538 and 623,016

Step by Step Solution

1. Step 1: Write the proportion equation
   416,538 : 623,016 = 623,016 : x
2. Step 2: Convert to fraction form
   416,538/623,016 = 623,016/x
3. Step 3: Cross multiply
   416,538x = 623,016 × 623,016
4. Step 4: Simplify right side
   416,538x = 388,148,936,256
5. Step 5: Solve for x
   x = 388,148,936,256/416,538
6. Step 6: Final answer
   x = 931,845.20