Finding the Third Proportional to 86,238 and 188,506

Step by Step Solution

1. Step 1: Write the proportion equation
   86,238 : 188,506 = 188,506 : x
2. Step 2: Convert to fraction form
   86,238/188,506 = 188,506/x
3. Step 3: Cross multiply
   86,238x = 188,506 × 188,506
4. Step 4: Simplify right side
   86,238x = 35,534,512,036
5. Step 5: Solve for x
   x = 35,534,512,036/86,238
6. Step 6: Final answer
   x = 412,051.67