Finding the Third Proportional to 111,775 and 169,106

Step by Step Solution

1. Step 1: Write the proportion equation
   111,775 : 169,106 = 169,106 : x
2. Step 2: Convert to fraction form
   111,775/169,106 = 169,106/x
3. Step 3: Cross multiply
   111,775x = 169,106 × 169,106
4. Step 4: Simplify right side
   111,775x = 28,596,839,236
5. Step 5: Solve for x
   x = 28,596,839,236/111,775
6. Step 6: Final answer
   x = 255,842.89