Finding the Third Proportional to 42,112 and 90,596

Step by Step Solution

1. Step 1: Write the proportion equation
   42,112 : 90,596 = 90,596 : x
2. Step 2: Convert to fraction form
   42,112/90,596 = 90,596/x
3. Step 3: Cross multiply
   42,112x = 90,596 × 90,596
4. Step 4: Simplify right side
   42,112x = 8,207,635,216
5. Step 5: Solve for x
   x = 8,207,635,216/42,112
6. Step 6: Final answer
   x = 194,900.15