Finding the Third Proportional to 47,322 and 102,640

Step by Step Solution

1. Step 1: Write the proportion equation
   47,322 : 102,640 = 102,640 : x
2. Step 2: Convert to fraction form
   47,322/102,640 = 102,640/x
3. Step 3: Cross multiply
   47,322x = 102,640 × 102,640
4. Step 4: Simplify right side
   47,322x = 10,534,969,600
5. Step 5: Solve for x
   x = 10,534,969,600/47,322
6. Step 6: Final answer
   x = 222,623.08