Finding the Third Proportional to 152,569 and 319,082

Step by Step Solution

1. Step 1: Write the proportion equation
   152,569 : 319,082 = 319,082 : x
2. Step 2: Convert to fraction form
   152,569/319,082 = 319,082/x
3. Step 3: Cross multiply
   152,569x = 319,082 × 319,082
4. Step 4: Simplify right side
   152,569x = 101,813,322,724
5. Step 5: Solve for x
   x = 101,813,322,724/152,569
6. Step 6: Final answer
   x = 667,326.41