Finding the Third Proportional to 113,465 and 188,449

Step by Step Solution

1. Step 1: Write the proportion equation
   113,465 : 188,449 = 188,449 : x
2. Step 2: Convert to fraction form
   113,465/188,449 = 188,449/x
3. Step 3: Cross multiply
   113,465x = 188,449 × 188,449
4. Step 4: Simplify right side
   113,465x = 35,513,025,601
5. Step 5: Solve for x
   x = 35,513,025,601/113,465
6. Step 6: Final answer
   x = 312,986.61