Finding the Third Proportional to 422,818 and 654,822

Step by Step Solution

1. Step 1: Write the proportion equation
   422,818 : 654,822 = 654,822 : x
2. Step 2: Convert to fraction form
   422,818/654,822 = 654,822/x
3. Step 3: Cross multiply
   422,818x = 654,822 × 654,822
4. Step 4: Simplify right side
   422,818x = 428,791,851,684
5. Step 5: Solve for x
   x = 428,791,851,684/422,818
6. Step 6: Final answer
   x = 1,014,128.66