Finding the Third Proportional to 164,513 and 341,944

Step by Step Solution

1. Step 1: Write the proportion equation
   164,513 : 341,944 = 341,944 : x
2. Step 2: Convert to fraction form
   164,513/341,944 = 341,944/x
3. Step 3: Cross multiply
   164,513x = 341,944 × 341,944
4. Step 4: Simplify right side
   164,513x = 116,925,699,136
5. Step 5: Solve for x
   x = 116,925,699,136/164,513
6. Step 6: Final answer
   x = 710,738.36