Finding the Third Proportional to 138,320 and 301,768

Step by Step Solution

1. Step 1: Write the proportion equation
   138,320 : 301,768 = 301,768 : x
2. Step 2: Convert to fraction form
   138,320/301,768 = 301,768/x
3. Step 3: Cross multiply
   138,320x = 301,768 × 301,768
4. Step 4: Simplify right side
   138,320x = 91,063,925,824
5. Step 5: Solve for x
   x = 91,063,925,824/138,320
6. Step 6: Final answer
   x = 658,356.90