Finding the Third Proportional to 114,464 and 175,099

Step by Step Solution

1. Step 1: Write the proportion equation
   114,464 : 175,099 = 175,099 : x
2. Step 2: Convert to fraction form
   114,464/175,099 = 175,099/x
3. Step 3: Cross multiply
   114,464x = 175,099 × 175,099
4. Step 4: Simplify right side
   114,464x = 30,659,659,801
5. Step 5: Solve for x
   x = 30,659,659,801/114,464
6. Step 6: Final answer
   x = 267,854.17