Finding the Third Proportional to 152,892 and 326,709

Step by Step Solution

1. Step 1: Write the proportion equation
   152,892 : 326,709 = 326,709 : x
2. Step 2: Convert to fraction form
   152,892/326,709 = 326,709/x
3. Step 3: Cross multiply
   152,892x = 326,709 × 326,709
4. Step 4: Simplify right side
   152,892x = 106,738,770,681
5. Step 5: Solve for x
   x = 106,738,770,681/152,892
6. Step 6: Final answer
   x = 698,131.82