Finding the Third Proportional to 345,216 and 466,410

Step by Step Solution

1. Step 1: Write the proportion equation
   345,216 : 466,410 = 466,410 : x
2. Step 2: Convert to fraction form
   345,216/466,410 = 466,410/x
3. Step 3: Cross multiply
   345,216x = 466,410 × 466,410
4. Step 4: Simplify right side
   345,216x = 217,538,288,100
5. Step 5: Solve for x
   x = 217,538,288,100/345,216
6. Step 6: Final answer
   x = 630,151.23