Finding the Third Proportional to 42,306 and 90,096

Step by Step Solution

1. Step 1: Write the proportion equation
   42,306 : 90,096 = 90,096 : x
2. Step 2: Convert to fraction form
   42,306/90,096 = 90,096/x
3. Step 3: Cross multiply
   42,306x = 90,096 × 90,096
4. Step 4: Simplify right side
   42,306x = 8,117,289,216
5. Step 5: Solve for x
   x = 8,117,289,216/42,306
6. Step 6: Final answer
   x = 191,870.87