Finding the Third Proportional to 85,716 and 188,040

Step by Step Solution

1. Step 1: Write the proportion equation
   85,716 : 188,040 = 188,040 : x
2. Step 2: Convert to fraction form
   85,716/188,040 = 188,040/x
3. Step 3: Cross multiply
   85,716x = 188,040 × 188,040
4. Step 4: Simplify right side
   85,716x = 35,359,041,600
5. Step 5: Solve for x
   x = 35,359,041,600/85,716
6. Step 6: Final answer
   x = 412,513.90