Finding the Third Proportional to 91,782 and 188,505

Step by Step Solution

1. Step 1: Write the proportion equation
   91,782 : 188,505 = 188,505 : x
2. Step 2: Convert to fraction form
   91,782/188,505 = 188,505/x
3. Step 3: Cross multiply
   91,782x = 188,505 × 188,505
4. Step 4: Simplify right side
   91,782x = 35,534,135,025
5. Step 5: Solve for x
   x = 35,534,135,025/91,782
6. Step 6: Final answer
   x = 387,157.99