Finding the Third Proportional to 306,780 and 470,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   306,780 : 470,923.50 = 470,923.50 : x
2. Step 2: Convert to fraction form
   306,780/470,923.50 = 470,923.50/x
3. Step 3: Cross multiply
   306,780x = 470,923.50 × 470,923.50
4. Step 4: Simplify right side
   306,780x = 221,768,942,852.25
5. Step 5: Solve for x
   x = 221,768,942,852.25/306,780
6. Step 6: Final answer
   x = 722,892.44