Finding the Third Proportional to 345,212 and 466,404

Step by Step Solution

1. Step 1: Write the proportion equation
   345,212 : 466,404 = 466,404 : x
2. Step 2: Convert to fraction form
   345,212/466,404 = 466,404/x
3. Step 3: Cross multiply
   345,212x = 466,404 × 466,404
4. Step 4: Simplify right side
   345,212x = 217,532,691,216
5. Step 5: Solve for x
   x = 217,532,691,216/345,212
6. Step 6: Final answer
   x = 630,142.32