Finding the Third Proportional to 42,854 and 93,016

Step by Step Solution

1. Step 1: Write the proportion equation
   42,854 : 93,016 = 93,016 : x
2. Step 2: Convert to fraction form
   42,854/93,016 = 93,016/x
3. Step 3: Cross multiply
   42,854x = 93,016 × 93,016
4. Step 4: Simplify right side
   42,854x = 8,651,976,256
5. Step 5: Solve for x
   x = 8,651,976,256/42,854
6. Step 6: Final answer
   x = 201,894.25