Finding the Third Proportional to 146,980 and 319,016

Step by Step Solution

1. Step 1: Write the proportion equation
   146,980 : 319,016 = 319,016 : x
2. Step 2: Convert to fraction form
   146,980/319,016 = 319,016/x
3. Step 3: Cross multiply
   146,980x = 319,016 × 319,016
4. Step 4: Simplify right side
   146,980x = 101,771,208,256
5. Step 5: Solve for x
   x = 101,771,208,256/146,980
6. Step 6: Final answer
   x = 692,415.35