Finding the Third Proportional to 85,724 and 188,054

Step by Step Solution

1. Step 1: Write the proportion equation
   85,724 : 188,054 = 188,054 : x
2. Step 2: Convert to fraction form
   85,724/188,054 = 188,054/x
3. Step 3: Cross multiply
   85,724x = 188,054 × 188,054
4. Step 4: Simplify right side
   85,724x = 35,364,306,916
5. Step 5: Solve for x
   x = 35,364,306,916/85,724
6. Step 6: Final answer
   x = 412,536.83