Finding the Third Proportional to 152,568 and 319,086

Step by Step Solution

1. Step 1: Write the proportion equation
   152,568 : 319,086 = 319,086 : x
2. Step 2: Convert to fraction form
   152,568/319,086 = 319,086/x
3. Step 3: Cross multiply
   152,568x = 319,086 × 319,086
4. Step 4: Simplify right side
   152,568x = 101,815,875,396
5. Step 5: Solve for x
   x = 101,815,875,396/152,568
6. Step 6: Final answer
   x = 667,347.51