Finding the Third Proportional to 152,682 and 325,656

Step by Step Solution

1. Step 1: Write the proportion equation
   152,682 : 325,656 = 325,656 : x
2. Step 2: Convert to fraction form
   152,682/325,656 = 325,656/x
3. Step 3: Cross multiply
   152,682x = 325,656 × 325,656
4. Step 4: Simplify right side
   152,682x = 106,051,830,336
5. Step 5: Solve for x
   x = 106,051,830,336/152,682
6. Step 6: Final answer
   x = 694,592.88