Finding the Third Proportional to 302,442 and 470,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,442 : 470,407.50 = 470,407.50 : x
2. Step 2: Convert to fraction form
   302,442/470,407.50 = 470,407.50/x
3. Step 3: Cross multiply
   302,442x = 470,407.50 × 470,407.50
4. Step 4: Simplify right side
   302,442x = 221,283,216,056.25
5. Step 5: Solve for x
   x = 221,283,216,056.25/302,442
6. Step 6: Final answer
   x = 731,655.05