Finding the Third Proportional to 111,820 and 169,184

Step by Step Solution

1. Step 1: Write the proportion equation
   111,820 : 169,184 = 169,184 : x
2. Step 2: Convert to fraction form
   111,820/169,184 = 169,184/x
3. Step 3: Cross multiply
   111,820x = 169,184 × 169,184
4. Step 4: Simplify right side
   111,820x = 28,623,225,856
5. Step 5: Solve for x
   x = 28,623,225,856/111,820
6. Step 6: Final answer
   x = 255,975.91