Finding the Third Proportional to 81,470 and 173,692

Step by Step Solution

1. Step 1: Write the proportion equation
   81,470 : 173,692 = 173,692 : x
2. Step 2: Convert to fraction form
   81,470/173,692 = 173,692/x
3. Step 3: Cross multiply
   81,470x = 173,692 × 173,692
4. Step 4: Simplify right side
   81,470x = 30,168,910,864
5. Step 5: Solve for x
   x = 30,168,910,864/81,470
6. Step 6: Final answer
   x = 370,306.99