Finding the Third Proportional to 165,300 and 339,308

Step by Step Solution

1. Step 1: Write the proportion equation
   165,300 : 339,308 = 339,308 : x
2. Step 2: Convert to fraction form
   165,300/339,308 = 339,308/x
3. Step 3: Cross multiply
   165,300x = 339,308 × 339,308
4. Step 4: Simplify right side
   165,300x = 115,129,918,864
5. Step 5: Solve for x
   x = 115,129,918,864/165,300
6. Step 6: Final answer
   x = 696,490.74