Finding the Third Proportional to 158,580 and 217,453.50

Step by Step Solution

1. Step 1: Write the proportion equation
   158,580 : 217,453.50 = 217,453.50 : x
2. Step 2: Convert to fraction form
   158,580/217,453.50 = 217,453.50/x
3. Step 3: Cross multiply
   158,580x = 217,453.50 × 217,453.50
4. Step 4: Simplify right side
   158,580x = 47,286,024,662.25
5. Step 5: Solve for x
   x = 47,286,024,662.25/158,580
6. Step 6: Final answer
   x = 298,184.04