Finding the Third Proportional to 80,690 and 177,303.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,690 : 177,303.50 = 177,303.50 : x
2. Step 2: Convert to fraction form
   80,690/177,303.50 = 177,303.50/x
3. Step 3: Cross multiply
   80,690x = 177,303.50 × 177,303.50
4. Step 4: Simplify right side
   80,690x = 31,436,531,112.25
5. Step 5: Solve for x
   x = 31,436,531,112.25/80,690
6. Step 6: Final answer
   x = 389,596.37