Finding the Third Proportional to 40,782 and 87,516

Step by Step Solution

1. Step 1: Write the proportion equation
   40,782 : 87,516 = 87,516 : x
2. Step 2: Convert to fraction form
   40,782/87,516 = 87,516/x
3. Step 3: Cross multiply
   40,782x = 87,516 × 87,516
4. Step 4: Simplify right side
   40,782x = 7,659,050,256
5. Step 5: Solve for x
   x = 7,659,050,256/40,782
6. Step 6: Final answer
   x = 187,804.68