Finding the Third Proportional to 302,865 and 470,302.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,865 : 470,302.50 = 470,302.50 : x
2. Step 2: Convert to fraction form
   302,865/470,302.50 = 470,302.50/x
3. Step 3: Cross multiply
   302,865x = 470,302.50 × 470,302.50
4. Step 4: Simplify right side
   302,865x = 221,184,441,506.25
5. Step 5: Solve for x
   x = 221,184,441,506.25/302,865
6. Step 6: Final answer
   x = 730,307.04