Finding the Third Proportional to 111,330 and 172,178

Step by Step Solution

1. Step 1: Write the proportion equation
   111,330 : 172,178 = 172,178 : x
2. Step 2: Convert to fraction form
   111,330/172,178 = 172,178/x
3. Step 3: Cross multiply
   111,330x = 172,178 × 172,178
4. Step 4: Simplify right side
   111,330x = 29,645,263,684
5. Step 5: Solve for x
   x = 29,645,263,684/111,330
6. Step 6: Final answer
   x = 266,282.80