Finding the Third Proportional to 384,828.75 and 825,696

Step by Step Solution

1. Step 1: Write the proportion equation
   384,828.75 : 825,696 = 825,696 : x
2. Step 2: Convert to fraction form
   384,828.75/825,696 = 825,696/x
3. Step 3: Cross multiply
   384,828.75x = 825,696 × 825,696
4. Step 4: Simplify right side
   384,828.75x = 681,773,884,416
5. Step 5: Solve for x
   x = 681,773,884,416/384,828.75
6. Step 6: Final answer
   x = 1,771,629.29