Finding the Third Proportional to 47,838 and 98,066

Step by Step Solution

1. Step 1: Write the proportion equation
   47,838 : 98,066 = 98,066 : x
2. Step 2: Convert to fraction form
   47,838/98,066 = 98,066/x
3. Step 3: Cross multiply
   47,838x = 98,066 × 98,066
4. Step 4: Simplify right side
   47,838x = 9,616,940,356
5. Step 5: Solve for x
   x = 9,616,940,356/47,838
6. Step 6: Final answer
   x = 201,031.41