Finding the Third Proportional to 42,592 and 90,976

Step by Step Solution

1. Step 1: Write the proportion equation
   42,592 : 90,976 = 90,976 : x
2. Step 2: Convert to fraction form
   42,592/90,976 = 90,976/x
3. Step 3: Cross multiply
   42,592x = 90,976 × 90,976
4. Step 4: Simplify right side
   42,592x = 8,276,632,576
5. Step 5: Solve for x
   x = 8,276,632,576/42,592
6. Step 6: Final answer
   x = 194,323.64