Finding the Third Proportional to 81,219 and 177,150

Step by Step Solution

1. Step 1: Write the proportion equation
   81,219 : 177,150 = 177,150 : x
2. Step 2: Convert to fraction form
   81,219/177,150 = 177,150/x
3. Step 3: Cross multiply
   81,219x = 177,150 × 177,150
4. Step 4: Simplify right side
   81,219x = 31,382,122,500
5. Step 5: Solve for x
   x = 31,382,122,500/81,219
6. Step 6: Final answer
   x = 386,388.93