Finding the Third Proportional to 40,806 and 87,830

Step by Step Solution

1. Step 1: Write the proportion equation
   40,806 : 87,830 = 87,830 : x
2. Step 2: Convert to fraction form
   40,806/87,830 = 87,830/x
3. Step 3: Cross multiply
   40,806x = 87,830 × 87,830
4. Step 4: Simplify right side
   40,806x = 7,714,108,900
5. Step 5: Solve for x
   x = 7,714,108,900/40,806
6. Step 6: Final answer
   x = 189,043.50