Finding the Third Proportional to 169,224 and 360,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   169,224 : 360,964.50 = 360,964.50 : x
2. Step 2: Convert to fraction form
   169,224/360,964.50 = 360,964.50/x
3. Step 3: Cross multiply
   169,224x = 360,964.50 × 360,964.50
4. Step 4: Simplify right side
   169,224x = 130,295,370,260.25
5. Step 5: Solve for x
   x = 130,295,370,260.25/169,224
6. Step 6: Final answer
   x = 769,957.99