Finding the Third Proportional to 111,786 and 169,124

Step by Step Solution

1. Step 1: Write the proportion equation
   111,786 : 169,124 = 169,124 : x
2. Step 2: Convert to fraction form
   111,786/169,124 = 169,124/x
3. Step 3: Cross multiply
   111,786x = 169,124 × 169,124
4. Step 4: Simplify right side
   111,786x = 28,602,927,376
5. Step 5: Solve for x
   x = 28,602,927,376/111,786
6. Step 6: Final answer
   x = 255,872.18