Finding the Third Proportional to 42,349 and 91,993

Step by Step Solution

1. Step 1: Write the proportion equation
   42,349 : 91,993 = 91,993 : x
2. Step 2: Convert to fraction form
   42,349/91,993 = 91,993/x
3. Step 3: Cross multiply
   42,349x = 91,993 × 91,993
4. Step 4: Simplify right side
   42,349x = 8,462,712,049
5. Step 5: Solve for x
   x = 8,462,712,049/42,349
6. Step 6: Final answer
   x = 199,832.63