Finding the Third Proportional to 111,784 and 169,120

Step by Step Solution

1. Step 1: Write the proportion equation
   111,784 : 169,120 = 169,120 : x
2. Step 2: Convert to fraction form
   111,784/169,120 = 169,120/x
3. Step 3: Cross multiply
   111,784x = 169,120 × 169,120
4. Step 4: Simplify right side
   111,784x = 28,601,574,400
5. Step 5: Solve for x
   x = 28,601,574,400/111,784
6. Step 6: Final answer
   x = 255,864.65