Finding the Third Proportional to 164,493 and 341,910

Step by Step Solution

1. Step 1: Write the proportion equation
   164,493 : 341,910 = 341,910 : x
2. Step 2: Convert to fraction form
   164,493/341,910 = 341,910/x
3. Step 3: Cross multiply
   164,493x = 341,910 × 341,910
4. Step 4: Simplify right side
   164,493x = 116,902,448,100
5. Step 5: Solve for x
   x = 116,902,448,100/164,493
6. Step 6: Final answer
   x = 710,683.42