Finding the Third Proportional to 80,322 and 176,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,322 : 176,409.50 = 176,409.50 : x
2. Step 2: Convert to fraction form
   80,322/176,409.50 = 176,409.50/x
3. Step 3: Cross multiply
   80,322x = 176,409.50 × 176,409.50
4. Step 4: Simplify right side
   80,322x = 31,120,311,690.25
5. Step 5: Solve for x
   x = 31,120,311,690.25/80,322
6. Step 6: Final answer
   x = 387,444.43