Finding the Third Proportional to 299,964.50 and 421,880

Step by Step Solution

1. Step 1: Write the proportion equation
   299,964.50 : 421,880 = 421,880 : x
2. Step 2: Convert to fraction form
   299,964.50/421,880 = 421,880/x
3. Step 3: Cross multiply
   299,964.50x = 421,880 × 421,880
4. Step 4: Simplify right side
   299,964.50x = 177,982,734,400
5. Step 5: Solve for x
   x = 177,982,734,400/299,964.50
6. Step 6: Final answer
   x = 593,345.99