Finding the Third Proportional to 45,734 and 98,758

Step by Step Solution

1. Step 1: Write the proportion equation
   45,734 : 98,758 = 98,758 : x
2. Step 2: Convert to fraction form
   45,734/98,758 = 98,758/x
3. Step 3: Cross multiply
   45,734x = 98,758 × 98,758
4. Step 4: Simplify right side
   45,734x = 9,753,142,564
5. Step 5: Solve for x
   x = 9,753,142,564/45,734
6. Step 6: Final answer
   x = 213,258.03