Finding the Third Proportional to 114,008 and 175,494

Step by Step Solution

1. Step 1: Write the proportion equation
   114,008 : 175,494 = 175,494 : x
2. Step 2: Convert to fraction form
   114,008/175,494 = 175,494/x
3. Step 3: Cross multiply
   114,008x = 175,494 × 175,494
4. Step 4: Simplify right side
   114,008x = 30,798,144,036
5. Step 5: Solve for x
   x = 30,798,144,036/114,008
6. Step 6: Final answer
   x = 270,140.20