Finding the Third Proportional to 169,323.50 and 361,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   169,323.50 : 361,974.50 = 361,974.50 : x
2. Step 2: Convert to fraction form
   169,323.50/361,974.50 = 361,974.50/x
3. Step 3: Cross multiply
   169,323.50x = 361,974.50 × 361,974.50
4. Step 4: Simplify right side
   169,323.50x = 131,025,538,650.25
5. Step 5: Solve for x
   x = 131,025,538,650.25/169,323.50
6. Step 6: Final answer
   x = 773,817.80