Finding the Third Proportional to 42,307 and 90,993

Step by Step Solution

1. Step 1: Write the proportion equation
   42,307 : 90,993 = 90,993 : x
2. Step 2: Convert to fraction form
   42,307/90,993 = 90,993/x
3. Step 3: Cross multiply
   42,307x = 90,993 × 90,993
4. Step 4: Simplify right side
   42,307x = 8,279,726,049
5. Step 5: Solve for x
   x = 8,279,726,049/42,307
6. Step 6: Final answer
   x = 195,705.82