Finding the Third Proportional to 111,068 and 177,642

Step by Step Solution

1. Step 1: Write the proportion equation
   111,068 : 177,642 = 177,642 : x
2. Step 2: Convert to fraction form
   111,068/177,642 = 177,642/x
3. Step 3: Cross multiply
   111,068x = 177,642 × 177,642
4. Step 4: Simplify right side
   111,068x = 31,556,680,164
5. Step 5: Solve for x
   x = 31,556,680,164/111,068
6. Step 6: Final answer
   x = 284,120.36