Finding the Third Proportional to 138,529 and 302,978

Step by Step Solution

1. Step 1: Write the proportion equation
   138,529 : 302,978 = 302,978 : x
2. Step 2: Convert to fraction form
   138,529/302,978 = 302,978/x
3. Step 3: Cross multiply
   138,529x = 302,978 × 302,978
4. Step 4: Simplify right side
   138,529x = 91,795,668,484
5. Step 5: Solve for x
   x = 91,795,668,484/138,529
6. Step 6: Final answer
   x = 662,645.86