Finding the Third Proportional to 91,530 and 188,707.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,530 : 188,707.50 = 188,707.50 : x
2. Step 2: Convert to fraction form
   91,530/188,707.50 = 188,707.50/x
3. Step 3: Cross multiply
   91,530x = 188,707.50 × 188,707.50
4. Step 4: Simplify right side
   91,530x = 35,610,520,556.25
5. Step 5: Solve for x
   x = 35,610,520,556.25/91,530
6. Step 6: Final answer
   x = 389,058.46