Finding the Third Proportional to 42,648 and 93,696

Step by Step Solution

1. Step 1: Write the proportion equation
   42,648 : 93,696 = 93,696 : x
2. Step 2: Convert to fraction form
   42,648/93,696 = 93,696/x
3. Step 3: Cross multiply
   42,648x = 93,696 × 93,696
4. Step 4: Simplify right side
   42,648x = 8,778,940,416
5. Step 5: Solve for x
   x = 8,778,940,416/42,648
6. Step 6: Final answer
   x = 205,846.47