Finding the Third Proportional to 302,970 and 469,765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,970 : 469,765.50 = 469,765.50 : x
2. Step 2: Convert to fraction form
   302,970/469,765.50 = 469,765.50/x
3. Step 3: Cross multiply
   302,970x = 469,765.50 × 469,765.50
4. Step 4: Simplify right side
   302,970x = 220,679,624,990.25
5. Step 5: Solve for x
   x = 220,679,624,990.25/302,970
6. Step 6: Final answer
   x = 728,387.71