Finding the Third Proportional to 158,583 and 217,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   158,583 : 217,462.50 = 217,462.50 : x
2. Step 2: Convert to fraction form
   158,583/217,462.50 = 217,462.50/x
3. Step 3: Cross multiply
   158,583x = 217,462.50 × 217,462.50
4. Step 4: Simplify right side
   158,583x = 47,289,938,906.25
5. Step 5: Solve for x
   x = 47,289,938,906.25/158,583
6. Step 6: Final answer
   x = 298,203.08