Finding the Third Proportional to 422,780 and 654,354

Step by Step Solution

1. Step 1: Write the proportion equation
   422,780 : 654,354 = 654,354 : x
2. Step 2: Convert to fraction form
   422,780/654,354 = 654,354/x
3. Step 3: Cross multiply
   422,780x = 654,354 × 654,354
4. Step 4: Simplify right side
   422,780x = 428,179,157,316
5. Step 5: Solve for x
   x = 428,179,157,316/422,780
6. Step 6: Final answer
   x = 1,012,770.61