Finding the Third Proportional to 81,870 and 176,190

Step by Step Solution

1. Step 1: Write the proportion equation
   81,870 : 176,190 = 176,190 : x
2. Step 2: Convert to fraction form
   81,870/176,190 = 176,190/x
3. Step 3: Cross multiply
   81,870x = 176,190 × 176,190
4. Step 4: Simplify right side
   81,870x = 31,042,916,100
5. Step 5: Solve for x
   x = 31,042,916,100/81,870
6. Step 6: Final answer
   x = 379,173.28