Finding the Third Proportional to 80,523 and 174,920.63

Step by Step Solution

1. Step 1: Write the proportion equation
   80,523 : 174,920.63 = 174,920.63 : x
2. Step 2: Convert to fraction form
   80,523/174,920.63 = 174,920.63/x
3. Step 3: Cross multiply
   80,523x = 174,920.63 × 174,920.63
4. Step 4: Simplify right side
   80,523x = 30,597,225,050.39
5. Step 5: Solve for x
   x = 30,597,225,050.39/80,523
6. Step 6: Final answer
   x = 379,981.19