Finding the Third Proportional to 111,842 and 174,531

Step by Step Solution

1. Step 1: Write the proportion equation
   111,842 : 174,531 = 174,531 : x
2. Step 2: Convert to fraction form
   111,842/174,531 = 174,531/x
3. Step 3: Cross multiply
   111,842x = 174,531 × 174,531
4. Step 4: Simplify right side
   111,842x = 30,461,069,961
5. Step 5: Solve for x
   x = 30,461,069,961/111,842
6. Step 6: Final answer
   x = 272,358.06