Finding the Third Proportional to 81,859.50 and 178,933.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,859.50 : 178,933.50 = 178,933.50 : x
2. Step 2: Convert to fraction form
   81,859.50/178,933.50 = 178,933.50/x
3. Step 3: Cross multiply
   81,859.50x = 178,933.50 × 178,933.50
4. Step 4: Simplify right side
   81,859.50x = 32,017,197,422.25
5. Step 5: Solve for x
   x = 32,017,197,422.25/81,859.50
6. Step 6: Final answer
   x = 391,123.78