Finding the Third Proportional to 81,691 and 179,491.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,691 : 179,491.50 = 179,491.50 : x
2. Step 2: Convert to fraction form
   81,691/179,491.50 = 179,491.50/x
3. Step 3: Cross multiply
   81,691x = 179,491.50 × 179,491.50
4. Step 4: Simplify right side
   81,691x = 32,217,198,572.25
5. Step 5: Solve for x
   x = 32,217,198,572.25/81,691
6. Step 6: Final answer
   x = 394,378.80