Finding the Third Proportional to 86,462 and 188,068

Step by Step Solution

1. Step 1: Write the proportion equation
   86,462 : 188,068 = 188,068 : x
2. Step 2: Convert to fraction form
   86,462/188,068 = 188,068/x
3. Step 3: Cross multiply
   86,462x = 188,068 × 188,068
4. Step 4: Simplify right side
   86,462x = 35,369,572,624
5. Step 5: Solve for x
   x = 35,369,572,624/86,462
6. Step 6: Final answer
   x = 409,076.50