Finding the Third Proportional to 164,457 and 359,670

Step by Step Solution

1. Step 1: Write the proportion equation
   164,457 : 359,670 = 359,670 : x
2. Step 2: Convert to fraction form
   164,457/359,670 = 359,670/x
3. Step 3: Cross multiply
   164,457x = 359,670 × 359,670
4. Step 4: Simplify right side
   164,457x = 129,362,508,900
5. Step 5: Solve for x
   x = 129,362,508,900/164,457
6. Step 6: Final answer
   x = 786,603.85