Finding the Third Proportional to 42,678 and 93,116

Step by Step Solution

1. Step 1: Write the proportion equation
   42,678 : 93,116 = 93,116 : x
2. Step 2: Convert to fraction form
   42,678/93,116 = 93,116/x
3. Step 3: Cross multiply
   42,678x = 93,116 × 93,116
4. Step 4: Simplify right side
   42,678x = 8,670,589,456
5. Step 5: Solve for x
   x = 8,670,589,456/42,678
6. Step 6: Final answer
   x = 203,162.98