Finding the Third Proportional to 212,808 and 463,416

Step by Step Solution

1. Step 1: Write the proportion equation
   212,808 : 463,416 = 463,416 : x
2. Step 2: Convert to fraction form
   212,808/463,416 = 463,416/x
3. Step 3: Cross multiply
   212,808x = 463,416 × 463,416
4. Step 4: Simplify right side
   212,808x = 214,754,389,056
5. Step 5: Solve for x
   x = 214,754,389,056/212,808
6. Step 6: Final answer
   x = 1,009,146.22