Finding the Third Proportional to 214,582 and 466,036

Step by Step Solution

1. Step 1: Write the proportion equation
   214,582 : 466,036 = 466,036 : x
2. Step 2: Convert to fraction form
   214,582/466,036 = 466,036/x
3. Step 3: Cross multiply
   214,582x = 466,036 × 466,036
4. Step 4: Simplify right side
   214,582x = 217,189,553,296
5. Step 5: Solve for x
   x = 217,189,553,296/214,582
6. Step 6: Final answer
   x = 1,012,151.78