Finding the Third Proportional to 64,900 and 100,216

Step by Step Solution

1. Step 1: Write the proportion equation
   64,900 : 100,216 = 100,216 : x
2. Step 2: Convert to fraction form
   64,900/100,216 = 100,216/x
3. Step 3: Cross multiply
   64,900x = 100,216 × 100,216
4. Step 4: Simplify right side
   64,900x = 10,043,246,656
5. Step 5: Solve for x
   x = 10,043,246,656/64,900
6. Step 6: Final answer
   x = 154,749.56