Finding the Third Proportional to 80,559 and 174,956.63

Step by Step Solution

1. Step 1: Write the proportion equation
   80,559 : 174,956.63 = 174,956.63 : x
2. Step 2: Convert to fraction form
   80,559/174,956.63 = 174,956.63/x
3. Step 3: Cross multiply
   80,559x = 174,956.63 × 174,956.63
4. Step 4: Simplify right side
   80,559x = 30,609,820,631.39
5. Step 5: Solve for x
   x = 30,609,820,631.39/80,559
6. Step 6: Final answer
   x = 379,967.73