Finding the Third Proportional to 85,754 and 188,122

Step by Step Solution

1. Step 1: Write the proportion equation
   85,754 : 188,122 = 188,122 : x
2. Step 2: Convert to fraction form
   85,754/188,122 = 188,122/x
3. Step 3: Cross multiply
   85,754x = 188,122 × 188,122
4. Step 4: Simplify right side
   85,754x = 35,389,886,884
5. Step 5: Solve for x
   x = 35,389,886,884/85,754
6. Step 6: Final answer
   x = 412,690.80