Finding the Third Proportional to 188,023 and 271,662

Step by Step Solution

1. Step 1: Write the proportion equation
   188,023 : 271,662 = 271,662 : x
2. Step 2: Convert to fraction form
   188,023/271,662 = 271,662/x
3. Step 3: Cross multiply
   188,023x = 271,662 × 271,662
4. Step 4: Simplify right side
   188,023x = 73,800,242,244
5. Step 5: Solve for x
   x = 73,800,242,244/188,023
6. Step 6: Final answer
   x = 392,506.46