Finding the Third Proportional to 83,570.50 and 178,805

Step by Step Solution

1. Step 1: Write the proportion equation
   83,570.50 : 178,805 = 178,805 : x
2. Step 2: Convert to fraction form
   83,570.50/178,805 = 178,805/x
3. Step 3: Cross multiply
   83,570.50x = 178,805 × 178,805
4. Step 4: Simplify right side
   83,570.50x = 31,971,228,025
5. Step 5: Solve for x
   x = 31,971,228,025/83,570.50
6. Step 6: Final answer
   x = 382,565.95