Finding the Third Proportional to 80,463.50 and 171,322

Step by Step Solution

1. Step 1: Write the proportion equation
   80,463.50 : 171,322 = 171,322 : x
2. Step 2: Convert to fraction form
   80,463.50/171,322 = 171,322/x
3. Step 3: Cross multiply
   80,463.50x = 171,322 × 171,322
4. Step 4: Simplify right side
   80,463.50x = 29,351,227,684
5. Step 5: Solve for x
   x = 29,351,227,684/80,463.50
6. Step 6: Final answer
   x = 364,776.92