Finding the Third Proportional to 162,333 and 359,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   162,333 : 359,698.50 = 359,698.50 : x
2. Step 2: Convert to fraction form
   162,333/359,698.50 = 359,698.50/x
3. Step 3: Cross multiply
   162,333x = 359,698.50 × 359,698.50
4. Step 4: Simplify right side
   162,333x = 129,383,010,902.25
5. Step 5: Solve for x
   x = 129,383,010,902.25/162,333
6. Step 6: Final answer
   x = 797,022.24