Finding the Third Proportional to 189,024.50 and 299,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,024.50 : 299,456.50 = 299,456.50 : x
2. Step 2: Convert to fraction form
   189,024.50/299,456.50 = 299,456.50/x
3. Step 3: Cross multiply
   189,024.50x = 299,456.50 × 299,456.50
4. Step 4: Simplify right side
   189,024.50x = 89,674,195,392.25
5. Step 5: Solve for x
   x = 89,674,195,392.25/189,024.50
6. Step 6: Final answer
   x = 474,405.15