Finding the Third Proportional to 30,197 and 64,777

Step by Step Solution

1. Step 1: Write the proportion equation
   30,197 : 64,777 = 64,777 : x
2. Step 2: Convert to fraction form
   30,197/64,777 = 64,777/x
3. Step 3: Cross multiply
   30,197x = 64,777 × 64,777
4. Step 4: Simplify right side
   30,197x = 4,196,059,729
5. Step 5: Solve for x
   x = 4,196,059,729/30,197
6. Step 6: Final answer
   x = 138,956.18