Finding the Third Proportional to 86,224 and 188,484

Step by Step Solution

1. Step 1: Write the proportion equation
   86,224 : 188,484 = 188,484 : x
2. Step 2: Convert to fraction form
   86,224/188,484 = 188,484/x
3. Step 3: Cross multiply
   86,224x = 188,484 × 188,484
4. Step 4: Simplify right side
   86,224x = 35,526,218,256
5. Step 5: Solve for x
   x = 35,526,218,256/86,224
6. Step 6: Final answer
   x = 412,022.39