Finding the Third Proportional to 81,934.50 and 178,692

Step by Step Solution

1. Step 1: Write the proportion equation
   81,934.50 : 178,692 = 178,692 : x
2. Step 2: Convert to fraction form
   81,934.50/178,692 = 178,692/x
3. Step 3: Cross multiply
   81,934.50x = 178,692 × 178,692
4. Step 4: Simplify right side
   81,934.50x = 31,930,830,864
5. Step 5: Solve for x
   x = 31,930,830,864/81,934.50
6. Step 6: Final answer
   x = 389,711.67