Finding the Third Proportional to 164,172 and 355,506

Step by Step Solution

1. Step 1: Write the proportion equation
   164,172 : 355,506 = 355,506 : x
2. Step 2: Convert to fraction form
   164,172/355,506 = 355,506/x
3. Step 3: Cross multiply
   164,172x = 355,506 × 355,506
4. Step 4: Simplify right side
   164,172x = 126,384,516,036
5. Step 5: Solve for x
   x = 126,384,516,036/164,172
6. Step 6: Final answer
   x = 769,829.91