Finding the Third Proportional to 85,722 and 188,050

Step by Step Solution

1. Step 1: Write the proportion equation
   85,722 : 188,050 = 188,050 : x
2. Step 2: Convert to fraction form
   85,722/188,050 = 188,050/x
3. Step 3: Cross multiply
   85,722x = 188,050 × 188,050
4. Step 4: Simplify right side
   85,722x = 35,362,802,500
5. Step 5: Solve for x
   x = 35,362,802,500/85,722
6. Step 6: Final answer
   x = 412,528.90