Finding the Third Proportional to 47,834 and 98,058

Step by Step Solution

1. Step 1: Write the proportion equation
   47,834 : 98,058 = 98,058 : x
2. Step 2: Convert to fraction form
   47,834/98,058 = 98,058/x
3. Step 3: Cross multiply
   47,834x = 98,058 × 98,058
4. Step 4: Simplify right side
   47,834x = 9,615,371,364
5. Step 5: Solve for x
   x = 9,615,371,364/47,834
6. Step 6: Final answer
   x = 201,015.42