Finding the Third Proportional to 47,892 and 98,172

Step by Step Solution

1. Step 1: Write the proportion equation
   47,892 : 98,172 = 98,172 : x
2. Step 2: Convert to fraction form
   47,892/98,172 = 98,172/x
3. Step 3: Cross multiply
   47,892x = 98,172 × 98,172
4. Step 4: Simplify right side
   47,892x = 9,637,741,584
5. Step 5: Solve for x
   x = 9,637,741,584/47,892
6. Step 6: Final answer
   x = 201,239.07