Finding the Third Proportional to 302,829 and 470,221.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,829 : 470,221.50 = 470,221.50 : x
2. Step 2: Convert to fraction form
   302,829/470,221.50 = 470,221.50/x
3. Step 3: Cross multiply
   302,829x = 470,221.50 × 470,221.50
4. Step 4: Simplify right side
   302,829x = 221,108,259,062.25
5. Step 5: Solve for x
   x = 221,108,259,062.25/302,829
6. Step 6: Final answer
   x = 730,142.29