Finding the Third Proportional to 111,006 and 169,272

Step by Step Solution

1. Step 1: Write the proportion equation
   111,006 : 169,272 = 169,272 : x
2. Step 2: Convert to fraction form
   111,006/169,272 = 169,272/x
3. Step 3: Cross multiply
   111,006x = 169,272 × 169,272
4. Step 4: Simplify right side
   111,006x = 28,653,009,984
5. Step 5: Solve for x
   x = 28,653,009,984/111,006
6. Step 6: Final answer
   x = 258,121.27