Finding the Third Proportional to 41,688 and 91,281.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,688 : 91,281.50 = 91,281.50 : x
2. Step 2: Convert to fraction form
   41,688/91,281.50 = 91,281.50/x
3. Step 3: Cross multiply
   41,688x = 91,281.50 × 91,281.50
4. Step 4: Simplify right side
   41,688x = 8,332,312,242.25
5. Step 5: Solve for x
   x = 8,332,312,242.25/41,688
6. Step 6: Final answer
   x = 199,873.16