Finding the Third Proportional to 111,816 and 179,550

Step by Step Solution

1. Step 1: Write the proportion equation
   111,816 : 179,550 = 179,550 : x
2. Step 2: Convert to fraction form
   111,816/179,550 = 179,550/x
3. Step 3: Cross multiply
   111,816x = 179,550 × 179,550
4. Step 4: Simplify right side
   111,816x = 32,238,202,500
5. Step 5: Solve for x
   x = 32,238,202,500/111,816
6. Step 6: Final answer
   x = 288,314.75