Finding the Third Proportional to 85,794 and 188,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,794 : 188,191.50 = 188,191.50 : x
2. Step 2: Convert to fraction form
   85,794/188,191.50 = 188,191.50/x
3. Step 3: Cross multiply
   85,794x = 188,191.50 × 188,191.50
4. Step 4: Simplify right side
   85,794x = 35,416,040,672.25
5. Step 5: Solve for x
   x = 35,416,040,672.25/85,794
6. Step 6: Final answer
   x = 412,803.23