Finding the Third Proportional to 214,638 and 466,184

Step by Step Solution

1. Step 1: Write the proportion equation
   214,638 : 466,184 = 466,184 : x
2. Step 2: Convert to fraction form
   214,638/466,184 = 466,184/x
3. Step 3: Cross multiply
   214,638x = 466,184 × 466,184
4. Step 4: Simplify right side
   214,638x = 217,327,521,856
5. Step 5: Solve for x
   x = 217,327,521,856/214,638
6. Step 6: Final answer
   x = 1,012,530.50