Finding the Third Proportional to 111,788 and 174,488

Step by Step Solution

1. Step 1: Write the proportion equation
   111,788 : 174,488 = 174,488 : x
2. Step 2: Convert to fraction form
   111,788/174,488 = 174,488/x
3. Step 3: Cross multiply
   111,788x = 174,488 × 174,488
4. Step 4: Simplify right side
   111,788x = 30,446,062,144
5. Step 5: Solve for x
   x = 30,446,062,144/111,788
6. Step 6: Final answer
   x = 272,355.37