Finding the Third Proportional to 101,846 and 212,980

Step by Step Solution

1. Step 1: Write the proportion equation
   101,846 : 212,980 = 212,980 : x
2. Step 2: Convert to fraction form
   101,846/212,980 = 212,980/x
3. Step 3: Cross multiply
   101,846x = 212,980 × 212,980
4. Step 4: Simplify right side
   101,846x = 45,360,480,400
5. Step 5: Solve for x
   x = 45,360,480,400/101,846
6. Step 6: Final answer
   x = 445,383.03