Finding the Third Proportional to 42,891 and 94,508

Step by Step Solution

1. Step 1: Write the proportion equation
   42,891 : 94,508 = 94,508 : x
2. Step 2: Convert to fraction form
   42,891/94,508 = 94,508/x
3. Step 3: Cross multiply
   42,891x = 94,508 × 94,508
4. Step 4: Simplify right side
   42,891x = 8,931,762,064
5. Step 5: Solve for x
   x = 8,931,762,064/42,891
6. Step 6: Final answer
   x = 208,243.27