Finding the Third Proportional to 115,836 and 174,996

Step by Step Solution

1. Step 1: Write the proportion equation
   115,836 : 174,996 = 174,996 : x
2. Step 2: Convert to fraction form
   115,836/174,996 = 174,996/x
3. Step 3: Cross multiply
   115,836x = 174,996 × 174,996
4. Step 4: Simplify right side
   115,836x = 30,623,600,016
5. Step 5: Solve for x
   x = 30,623,600,016/115,836
6. Step 6: Final answer
   x = 264,370.32