Finding the Third Proportional to 211,554 and 461,688

Step by Step Solution

1. Step 1: Write the proportion equation
   211,554 : 461,688 = 461,688 : x
2. Step 2: Convert to fraction form
   211,554/461,688 = 461,688/x
3. Step 3: Cross multiply
   211,554x = 461,688 × 461,688
4. Step 4: Simplify right side
   211,554x = 213,155,809,344
5. Step 5: Solve for x
   x = 213,155,809,344/211,554
6. Step 6: Final answer
   x = 1,007,571.63