Finding the Third Proportional to 146,499 and 319,845

Step by Step Solution

1. Step 1: Write the proportion equation
   146,499 : 319,845 = 319,845 : x
2. Step 2: Convert to fraction form
   146,499/319,845 = 319,845/x
3. Step 3: Cross multiply
   146,499x = 319,845 × 319,845
4. Step 4: Simplify right side
   146,499x = 102,300,824,025
5. Step 5: Solve for x
   x = 102,300,824,025/146,499
6. Step 6: Final answer
   x = 698,303.91