Finding the Third Proportional to 164,511 and 341,469

Step by Step Solution

1. Step 1: Write the proportion equation
   164,511 : 341,469 = 341,469 : x
2. Step 2: Convert to fraction form
   164,511/341,469 = 341,469/x
3. Step 3: Cross multiply
   164,511x = 341,469 × 341,469
4. Step 4: Simplify right side
   164,511x = 116,601,077,961
5. Step 5: Solve for x
   x = 116,601,077,961/164,511
6. Step 6: Final answer
   x = 708,773.75