Finding the Third Proportional to 70,468 and 146,768

Step by Step Solution

1. Step 1: Write the proportion equation
   70,468 : 146,768 = 146,768 : x
2. Step 2: Convert to fraction form
   70,468/146,768 = 146,768/x
3. Step 3: Cross multiply
   70,468x = 146,768 × 146,768
4. Step 4: Simplify right side
   70,468x = 21,540,845,824
5. Step 5: Solve for x
   x = 21,540,845,824/70,468
6. Step 6: Final answer
   x = 305,682.66