Finding the Third Proportional to 146,308 and 314,812

Step by Step Solution

1. Step 1: Write the proportion equation
   146,308 : 314,812 = 314,812 : x
2. Step 2: Convert to fraction form
   146,308/314,812 = 314,812/x
3. Step 3: Cross multiply
   146,308x = 314,812 × 314,812
4. Step 4: Simplify right side
   146,308x = 99,106,595,344
5. Step 5: Solve for x
   x = 99,106,595,344/146,308
6. Step 6: Final answer
   x = 677,383.30