Finding the Third Proportional to 211,770 and 464,994

Step by Step Solution

1. Step 1: Write the proportion equation
   211,770 : 464,994 = 464,994 : x
2. Step 2: Convert to fraction form
   211,770/464,994 = 464,994/x
3. Step 3: Cross multiply
   211,770x = 464,994 × 464,994
4. Step 4: Simplify right side
   211,770x = 216,219,420,036
5. Step 5: Solve for x
   x = 216,219,420,036/211,770
6. Step 6: Final answer
   x = 1,021,010.62