Finding the Third Proportional to 40,788 and 90,311

Step by Step Solution

1. Step 1: Write the proportion equation
   40,788 : 90,311 = 90,311 : x
2. Step 2: Convert to fraction form
   40,788/90,311 = 90,311/x
3. Step 3: Cross multiply
   40,788x = 90,311 × 90,311
4. Step 4: Simplify right side
   40,788x = 8,156,076,721
5. Step 5: Solve for x
   x = 8,156,076,721/40,788
6. Step 6: Final answer
   x = 199,962.65