Finding the Third Proportional to 147,933 and 319,219.31

Step by Step Solution

1. Step 1: Write the proportion equation
   147,933 : 319,219.31 = 319,219.31 : x
2. Step 2: Convert to fraction form
   147,933/319,219.31 = 319,219.31/x
3. Step 3: Cross multiply
   147,933x = 319,219.31 × 319,219.31
4. Step 4: Simplify right side
   147,933x = 101,900,969,472.97
5. Step 5: Solve for x
   x = 101,900,969,472.97/147,933
6. Step 6: Final answer
   x = 688,831.90