Finding the Third Proportional to 211,772 and 464,998

Step by Step Solution

1. Step 1: Write the proportion equation
   211,772 : 464,998 = 464,998 : x
2. Step 2: Convert to fraction form
   211,772/464,998 = 464,998/x
3. Step 3: Cross multiply
   211,772x = 464,998 × 464,998
4. Step 4: Simplify right side
   211,772x = 216,223,140,004
5. Step 5: Solve for x
   x = 216,223,140,004/211,772
6. Step 6: Final answer
   x = 1,021,018.55