Finding the Third Proportional to 81,769.50 and 179,091

Step by Step Solution

1. Step 1: Write the proportion equation
   81,769.50 : 179,091 = 179,091 : x
2. Step 2: Convert to fraction form
   81,769.50/179,091 = 179,091/x
3. Step 3: Cross multiply
   81,769.50x = 179,091 × 179,091
4. Step 4: Simplify right side
   81,769.50x = 32,073,586,281
5. Step 5: Solve for x
   x = 32,073,586,281/81,769.50
6. Step 6: Final answer
   x = 392,243.88