Finding the Third Proportional to 111,984 and 174,795

Step by Step Solution

1. Step 1: Write the proportion equation
   111,984 : 174,795 = 174,795 : x
2. Step 2: Convert to fraction form
   111,984/174,795 = 174,795/x
3. Step 3: Cross multiply
   111,984x = 174,795 × 174,795
4. Step 4: Simplify right side
   111,984x = 30,553,292,025
5. Step 5: Solve for x
   x = 30,553,292,025/111,984
6. Step 6: Final answer
   x = 272,836.23