Finding the Third Proportional to 42,840 and 94,856

Step by Step Solution

1. Step 1: Write the proportion equation
   42,840 : 94,856 = 94,856 : x
2. Step 2: Convert to fraction form
   42,840/94,856 = 94,856/x
3. Step 3: Cross multiply
   42,840x = 94,856 × 94,856
4. Step 4: Simplify right side
   42,840x = 8,997,660,736
5. Step 5: Solve for x
   x = 8,997,660,736/42,840
6. Step 6: Final answer
   x = 210,029.43