Finding the Third Proportional to 307,809 and 462,604.50

Step by Step Solution

1. Step 1: Write the proportion equation
   307,809 : 462,604.50 = 462,604.50 : x
2. Step 2: Convert to fraction form
   307,809/462,604.50 = 462,604.50/x
3. Step 3: Cross multiply
   307,809x = 462,604.50 × 462,604.50
4. Step 4: Simplify right side
   307,809x = 214,002,923,420.25
5. Step 5: Solve for x
   x = 214,002,923,420.25/307,809
6. Step 6: Final answer
   x = 695,245.83