Finding the Third Proportional to 114,470 and 175,108

Step by Step Solution

1. Step 1: Write the proportion equation
   114,470 : 175,108 = 175,108 : x
2. Step 2: Convert to fraction form
   114,470/175,108 = 175,108/x
3. Step 3: Cross multiply
   114,470x = 175,108 × 175,108
4. Step 4: Simplify right side
   114,470x = 30,662,811,664
5. Step 5: Solve for x
   x = 30,662,811,664/114,470
6. Step 6: Final answer
   x = 267,867.67