Finding the Third Proportional to 307,685 and 467,303.50

Step by Step Solution

1. Step 1: Write the proportion equation
   307,685 : 467,303.50 = 467,303.50 : x
2. Step 2: Convert to fraction form
   307,685/467,303.50 = 467,303.50/x
3. Step 3: Cross multiply
   307,685x = 467,303.50 × 467,303.50
4. Step 4: Simplify right side
   307,685x = 218,372,561,112.25
5. Step 5: Solve for x
   x = 218,372,561,112.25/307,685
6. Step 6: Final answer
   x = 709,727.68