Finding the Third Proportional to 152,694 and 325,680

Step by Step Solution

1. Step 1: Write the proportion equation
   152,694 : 325,680 = 325,680 : x
2. Step 2: Convert to fraction form
   152,694/325,680 = 325,680/x
3. Step 3: Cross multiply
   152,694x = 325,680 × 325,680
4. Step 4: Simplify right side
   152,694x = 106,067,462,400
5. Step 5: Solve for x
   x = 106,067,462,400/152,694
6. Step 6: Final answer
   x = 694,640.67