Finding the Third Proportional to 164,312 and 336,410

Step by Step Solution

1. Step 1: Write the proportion equation
   164,312 : 336,410 = 336,410 : x
2. Step 2: Convert to fraction form
   164,312/336,410 = 336,410/x
3. Step 3: Cross multiply
   164,312x = 336,410 × 336,410
4. Step 4: Simplify right side
   164,312x = 113,171,688,100
5. Step 5: Solve for x
   x = 113,171,688,100/164,312
6. Step 6: Final answer
   x = 688,760.94