Finding the Third Proportional to 116,996 and 188,412

Step by Step Solution

1. Step 1: Write the proportion equation
   116,996 : 188,412 = 188,412 : x
2. Step 2: Convert to fraction form
   116,996/188,412 = 188,412/x
3. Step 3: Cross multiply
   116,996x = 188,412 × 188,412
4. Step 4: Simplify right side
   116,996x = 35,499,081,744
5. Step 5: Solve for x
   x = 35,499,081,744/116,996
6. Step 6: Final answer
   x = 303,421.33