Finding the Third Proportional to 164,314 and 336,412

Step by Step Solution

1. Step 1: Write the proportion equation
   164,314 : 336,412 = 336,412 : x
2. Step 2: Convert to fraction form
   164,314/336,412 = 336,412/x
3. Step 3: Cross multiply
   164,314x = 336,412 × 336,412
4. Step 4: Simplify right side
   164,314x = 113,173,033,744
5. Step 5: Solve for x
   x = 113,173,033,744/164,314
6. Step 6: Final answer
   x = 688,760.75