Finding the Third Proportional to 111,572 and 169,984

Step by Step Solution

1. Step 1: Write the proportion equation
   111,572 : 169,984 = 169,984 : x
2. Step 2: Convert to fraction form
   111,572/169,984 = 169,984/x
3. Step 3: Cross multiply
   111,572x = 169,984 × 169,984
4. Step 4: Simplify right side
   111,572x = 28,894,560,256
5. Step 5: Solve for x
   x = 28,894,560,256/111,572
6. Step 6: Final answer
   x = 258,976.81