Finding the Third Proportional to 47,025 and 102,338

Step by Step Solution

1. Step 1: Write the proportion equation
   47,025 : 102,338 = 102,338 : x
2. Step 2: Convert to fraction form
   47,025/102,338 = 102,338/x
3. Step 3: Cross multiply
   47,025x = 102,338 × 102,338
4. Step 4: Simplify right side
   47,025x = 10,473,066,244
5. Step 5: Solve for x
   x = 10,473,066,244/47,025
6. Step 6: Final answer
   x = 222,712.73