Finding the Third Proportional to 42,343 and 90,311

Step by Step Solution

1. Step 1: Write the proportion equation
   42,343 : 90,311 = 90,311 : x
2. Step 2: Convert to fraction form
   42,343/90,311 = 90,311/x
3. Step 3: Cross multiply
   42,343x = 90,311 × 90,311
4. Step 4: Simplify right side
   42,343x = 8,156,076,721
5. Step 5: Solve for x
   x = 8,156,076,721/42,343
6. Step 6: Final answer
   x = 192,619.25