Finding the Third Proportional to 86,260 and 188,558

Step by Step Solution

1. Step 1: Write the proportion equation
   86,260 : 188,558 = 188,558 : x
2. Step 2: Convert to fraction form
   86,260/188,558 = 188,558/x
3. Step 3: Cross multiply
   86,260x = 188,558 × 188,558
4. Step 4: Simplify right side
   86,260x = 35,554,119,364
5. Step 5: Solve for x
   x = 35,554,119,364/86,260
6. Step 6: Final answer
   x = 412,173.89