Finding the Third Proportional to 111,785 and 169,122

Step by Step Solution

1. Step 1: Write the proportion equation
   111,785 : 169,122 = 169,122 : x
2. Step 2: Convert to fraction form
   111,785/169,122 = 169,122/x
3. Step 3: Cross multiply
   111,785x = 169,122 × 169,122
4. Step 4: Simplify right side
   111,785x = 28,602,250,884
5. Step 5: Solve for x
   x = 28,602,250,884/111,785
6. Step 6: Final answer
   x = 255,868.42