Finding the Third Proportional to 81,814.50 and 178,893

Step by Step Solution

1. Step 1: Write the proportion equation
   81,814.50 : 178,893 = 178,893 : x
2. Step 2: Convert to fraction form
   81,814.50/178,893 = 178,893/x
3. Step 3: Cross multiply
   81,814.50x = 178,893 × 178,893
4. Step 4: Simplify right side
   81,814.50x = 32,002,705,449
5. Step 5: Solve for x
   x = 32,002,705,449/81,814.50
6. Step 6: Final answer
   x = 391,161.78