Finding the Third Proportional to 111,790 and 174,491

Step by Step Solution

1. Step 1: Write the proportion equation
   111,790 : 174,491 = 174,491 : x
2. Step 2: Convert to fraction form
   111,790/174,491 = 174,491/x
3. Step 3: Cross multiply
   111,790x = 174,491 × 174,491
4. Step 4: Simplify right side
   111,790x = 30,447,109,081
5. Step 5: Solve for x
   x = 30,447,109,081/111,790
6. Step 6: Final answer
   x = 272,359.86