Finding the Third Proportional to 138,065 and 301,978

Step by Step Solution

1. Step 1: Write the proportion equation
   138,065 : 301,978 = 301,978 : x
2. Step 2: Convert to fraction form
   138,065/301,978 = 301,978/x
3. Step 3: Cross multiply
   138,065x = 301,978 × 301,978
4. Step 4: Simplify right side
   138,065x = 91,190,712,484
5. Step 5: Solve for x
   x = 91,190,712,484/138,065
6. Step 6: Final answer
   x = 660,491.16