Finding the Third Proportional to 165,320 and 337,645

Step by Step Solution

1. Step 1: Write the proportion equation
   165,320 : 337,645 = 337,645 : x
2. Step 2: Convert to fraction form
   165,320/337,645 = 337,645/x
3. Step 3: Cross multiply
   165,320x = 337,645 × 337,645
4. Step 4: Simplify right side
   165,320x = 114,004,146,025
5. Step 5: Solve for x
   x = 114,004,146,025/165,320
6. Step 6: Final answer
   x = 689,596.82