Finding the Third Proportional to 152,544 and 315,696

Step by Step Solution

1. Step 1: Write the proportion equation
   152,544 : 315,696 = 315,696 : x
2. Step 2: Convert to fraction form
   152,544/315,696 = 315,696/x
3. Step 3: Cross multiply
   152,544x = 315,696 × 315,696
4. Step 4: Simplify right side
   152,544x = 99,663,964,416
5. Step 5: Solve for x
   x = 99,663,964,416/152,544
6. Step 6: Final answer
   x = 653,345.69