Finding the Third Proportional to 83,566.50 and 178,797

Step by Step Solution

1. Step 1: Write the proportion equation
   83,566.50 : 178,797 = 178,797 : x
2. Step 2: Convert to fraction form
   83,566.50/178,797 = 178,797/x
3. Step 3: Cross multiply
   83,566.50x = 178,797 × 178,797
4. Step 4: Simplify right side
   83,566.50x = 31,968,367,209
5. Step 5: Solve for x
   x = 31,968,367,209/83,566.50
6. Step 6: Final answer
   x = 382,550.03