Finding the Third Proportional to 162,830 and 355,036

Step by Step Solution

1. Step 1: Write the proportion equation
   162,830 : 355,036 = 355,036 : x
2. Step 2: Convert to fraction form
   162,830/355,036 = 355,036/x
3. Step 3: Cross multiply
   162,830x = 355,036 × 355,036
4. Step 4: Simplify right side
   162,830x = 126,050,561,296
5. Step 5: Solve for x
   x = 126,050,561,296/162,830
6. Step 6: Final answer
   x = 774,123.70