Finding the Third Proportional to 211,306 and 464,084

Step by Step Solution

1. Step 1: Write the proportion equation
   211,306 : 464,084 = 464,084 : x
2. Step 2: Convert to fraction form
   211,306/464,084 = 464,084/x
3. Step 3: Cross multiply
   211,306x = 464,084 × 464,084
4. Step 4: Simplify right side
   211,306x = 215,373,959,056
5. Step 5: Solve for x
   x = 215,373,959,056/211,306
6. Step 6: Final answer
   x = 1,019,251.51