Finding the Third Proportional to 212,364 and 464,112

Step by Step Solution

1. Step 1: Write the proportion equation
   212,364 : 464,112 = 464,112 : x
2. Step 2: Convert to fraction form
   212,364/464,112 = 464,112/x
3. Step 3: Cross multiply
   212,364x = 464,112 × 464,112
4. Step 4: Simplify right side
   212,364x = 215,399,948,544
5. Step 5: Solve for x
   x = 215,399,948,544/212,364
6. Step 6: Final answer
   x = 1,014,295.97