Finding the Third Proportional to 212,674 and 463,984

Step by Step Solution

1. Step 1: Write the proportion equation
   212,674 : 463,984 = 463,984 : x
2. Step 2: Convert to fraction form
   212,674/463,984 = 463,984/x
3. Step 3: Cross multiply
   212,674x = 463,984 × 463,984
4. Step 4: Simplify right side
   212,674x = 215,281,152,256
5. Step 5: Solve for x
   x = 215,281,152,256/212,674
6. Step 6: Final answer
   x = 1,012,258.91