Finding the Third Proportional to 302,421 and 470,371.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,421 : 470,371.50 = 470,371.50 : x
2. Step 2: Convert to fraction form
   302,421/470,371.50 = 470,371.50/x
3. Step 3: Cross multiply
   302,421x = 470,371.50 × 470,371.50
4. Step 4: Simplify right side
   302,421x = 221,249,348,012.25
5. Step 5: Solve for x
   x = 221,249,348,012.25/302,421
6. Step 6: Final answer
   x = 731,593.86