Finding the Third Proportional to 111,119 and 169,412

Step by Step Solution

1. Step 1: Write the proportion equation
   111,119 : 169,412 = 169,412 : x
2. Step 2: Convert to fraction form
   111,119/169,412 = 169,412/x
3. Step 3: Cross multiply
   111,119x = 169,412 × 169,412
4. Step 4: Simplify right side
   111,119x = 28,700,425,744
5. Step 5: Solve for x
   x = 28,700,425,744/111,119
6. Step 6: Final answer
   x = 258,285.49