Finding the Third Proportional to 47,477 and 101,308

Step by Step Solution

1. Step 1: Write the proportion equation
   47,477 : 101,308 = 101,308 : x
2. Step 2: Convert to fraction form
   47,477/101,308 = 101,308/x
3. Step 3: Cross multiply
   47,477x = 101,308 × 101,308
4. Step 4: Simplify right side
   47,477x = 10,263,310,864
5. Step 5: Solve for x
   x = 10,263,310,864/47,477
6. Step 6: Final answer
   x = 216,174.38