Finding the Third Proportional to 307,200 and 465,096

Step by Step Solution

1. Step 1: Write the proportion equation
   307,200 : 465,096 = 465,096 : x
2. Step 2: Convert to fraction form
   307,200/465,096 = 465,096/x
3. Step 3: Cross multiply
   307,200x = 465,096 × 465,096
4. Step 4: Simplify right side
   307,200x = 216,314,289,216
5. Step 5: Solve for x
   x = 216,314,289,216/307,200
6. Step 6: Final answer
   x = 704,148.08