Finding the Third Proportional to 306,709.50 and 465,582

Step by Step Solution

1. Step 1: Write the proportion equation
   306,709.50 : 465,582 = 465,582 : x
2. Step 2: Convert to fraction form
   306,709.50/465,582 = 465,582/x
3. Step 3: Cross multiply
   306,709.50x = 465,582 × 465,582
4. Step 4: Simplify right side
   306,709.50x = 216,766,598,724
5. Step 5: Solve for x
   x = 216,766,598,724/306,709.50
6. Step 6: Final answer
   x = 706,748.89