Finding the Third Proportional to 310,735 and 470,303.50

Step by Step Solution

1. Step 1: Write the proportion equation
   310,735 : 470,303.50 = 470,303.50 : x
2. Step 2: Convert to fraction form
   310,735/470,303.50 = 470,303.50/x
3. Step 3: Cross multiply
   310,735x = 470,303.50 × 470,303.50
4. Step 4: Simplify right side
   310,735x = 221,185,382,112.25
5. Step 5: Solve for x
   x = 221,185,382,112.25/310,735
6. Step 6: Final answer
   x = 711,813.55