Finding the Third Proportional to 42,080 and 91,693

Step by Step Solution

1. Step 1: Write the proportion equation
   42,080 : 91,693 = 91,693 : x
2. Step 2: Convert to fraction form
   42,080/91,693 = 91,693/x
3. Step 3: Cross multiply
   42,080x = 91,693 × 91,693
4. Step 4: Simplify right side
   42,080x = 8,407,606,249
5. Step 5: Solve for x
   x = 8,407,606,249/42,080
6. Step 6: Final answer
   x = 199,800.53