Finding the Third Proportional to 42,084 and 90,729

Step by Step Solution

1. Step 1: Write the proportion equation
   42,084 : 90,729 = 90,729 : x
2. Step 2: Convert to fraction form
   42,084/90,729 = 90,729/x
3. Step 3: Cross multiply
   42,084x = 90,729 × 90,729
4. Step 4: Simplify right side
   42,084x = 8,231,751,441
5. Step 5: Solve for x
   x = 8,231,751,441/42,084
6. Step 6: Final answer
   x = 195,602.88