Finding the Third Proportional to 306,729 and 465,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   306,729 : 465,619.50 = 465,619.50 : x
2. Step 2: Convert to fraction form
   306,729/465,619.50 = 465,619.50/x
3. Step 3: Cross multiply
   306,729x = 465,619.50 × 465,619.50
4. Step 4: Simplify right side
   306,729x = 216,801,518,780.25
5. Step 5: Solve for x
   x = 216,801,518,780.25/306,729
6. Step 6: Final answer
   x = 706,817.81