Finding the Third Proportional to 164,162 and 353,654

Step by Step Solution

1. Step 1: Write the proportion equation
   164,162 : 353,654 = 353,654 : x
2. Step 2: Convert to fraction form
   164,162/353,654 = 353,654/x
3. Step 3: Cross multiply
   164,162x = 353,654 × 353,654
4. Step 4: Simplify right side
   164,162x = 125,071,151,716
5. Step 5: Solve for x
   x = 125,071,151,716/164,162
6. Step 6: Final answer
   x = 761,876.39