Finding the Third Proportional to 81,886 and 176,300

Step by Step Solution

1. Step 1: Write the proportion equation
   81,886 : 176,300 = 176,300 : x
2. Step 2: Convert to fraction form
   81,886/176,300 = 176,300/x
3. Step 3: Cross multiply
   81,886x = 176,300 × 176,300
4. Step 4: Simplify right side
   81,886x = 31,081,690,000
5. Step 5: Solve for x
   x = 31,081,690,000/81,886
6. Step 6: Final answer
   x = 379,572.70