Finding the Third Proportional to 42,365 and 92,059

Step by Step Solution

1. Step 1: Write the proportion equation
   42,365 : 92,059 = 92,059 : x
2. Step 2: Convert to fraction form
   42,365/92,059 = 92,059/x
3. Step 3: Cross multiply
   42,365x = 92,059 × 92,059
4. Step 4: Simplify right side
   42,365x = 8,474,859,481
5. Step 5: Solve for x
   x = 8,474,859,481/42,365
6. Step 6: Final answer
   x = 200,043.89