Finding the Third Proportional to 86,670 and 188,154

Step by Step Solution

1. Step 1: Write the proportion equation
   86,670 : 188,154 = 188,154 : x
2. Step 2: Convert to fraction form
   86,670/188,154 = 188,154/x
3. Step 3: Cross multiply
   86,670x = 188,154 × 188,154
4. Step 4: Simplify right side
   86,670x = 35,401,927,716
5. Step 5: Solve for x
   x = 35,401,927,716/86,670
6. Step 6: Final answer
   x = 408,468.07