Finding the Third Proportional to 40,884 and 90,502.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,884 : 90,502.50 = 90,502.50 : x
2. Step 2: Convert to fraction form
   40,884/90,502.50 = 90,502.50/x
3. Step 3: Cross multiply
   40,884x = 90,502.50 × 90,502.50
4. Step 4: Simplify right side
   40,884x = 8,190,702,506.25
5. Step 5: Solve for x
   x = 8,190,702,506.25/40,884
6. Step 6: Final answer
   x = 200,340.05