Finding the Third Proportional to 81,769.50 and 176,434.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,769.50 : 176,434.50 = 176,434.50 : x
2. Step 2: Convert to fraction form
   81,769.50/176,434.50 = 176,434.50/x
3. Step 3: Cross multiply
   81,769.50x = 176,434.50 × 176,434.50
4. Step 4: Simplify right side
   81,769.50x = 31,129,132,790.25
5. Step 5: Solve for x
   x = 31,129,132,790.25/81,769.50
6. Step 6: Final answer
   x = 380,693.69