Finding the Third Proportional to 307,144 and 465,014

Step by Step Solution

1. Step 1: Write the proportion equation
   307,144 : 465,014 = 465,014 : x
2. Step 2: Convert to fraction form
   307,144/465,014 = 465,014/x
3. Step 3: Cross multiply
   307,144x = 465,014 × 465,014
4. Step 4: Simplify right side
   307,144x = 216,238,020,196
5. Step 5: Solve for x
   x = 216,238,020,196/307,144
6. Step 6: Final answer
   x = 704,028.14