Finding the Third Proportional to 146,978 and 319,012

Step by Step Solution

1. Step 1: Write the proportion equation
   146,978 : 319,012 = 319,012 : x
2. Step 2: Convert to fraction form
   146,978/319,012 = 319,012/x
3. Step 3: Cross multiply
   146,978x = 319,012 × 319,012
4. Step 4: Simplify right side
   146,978x = 101,768,656,144
5. Step 5: Solve for x
   x = 101,768,656,144/146,978
6. Step 6: Final answer
   x = 692,407.41