Finding the Third Proportional to 164,820 and 337,470

Step by Step Solution

1. Step 1: Write the proportion equation
   164,820 : 337,470 = 337,470 : x
2. Step 2: Convert to fraction form
   164,820/337,470 = 337,470/x
3. Step 3: Cross multiply
   164,820x = 337,470 × 337,470
4. Step 4: Simplify right side
   164,820x = 113,886,000,900
5. Step 5: Solve for x
   x = 113,886,000,900/164,820
6. Step 6: Final answer
   x = 690,971.97