Finding the Third Proportional to 302,430 and 470,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,430 : 470,386.50 = 470,386.50 : x
2. Step 2: Convert to fraction form
   302,430/470,386.50 = 470,386.50/x
3. Step 3: Cross multiply
   302,430x = 470,386.50 × 470,386.50
4. Step 4: Simplify right side
   302,430x = 221,263,459,382.25
5. Step 5: Solve for x
   x = 221,263,459,382.25/302,430
6. Step 6: Final answer
   x = 731,618.75