Finding the Third Proportional to 162,200 and 355,978

Step by Step Solution

1. Step 1: Write the proportion equation
   162,200 : 355,978 = 355,978 : x
2. Step 2: Convert to fraction form
   162,200/355,978 = 355,978/x
3. Step 3: Cross multiply
   162,200x = 355,978 × 355,978
4. Step 4: Simplify right side
   162,200x = 126,720,336,484
5. Step 5: Solve for x
   x = 126,720,336,484/162,200
6. Step 6: Final answer
   x = 781,259.78