Finding the Third Proportional to 42,242 and 91,782

Step by Step Solution

1. Step 1: Write the proportion equation
   42,242 : 91,782 = 91,782 : x
2. Step 2: Convert to fraction form
   42,242/91,782 = 91,782/x
3. Step 3: Cross multiply
   42,242x = 91,782 × 91,782
4. Step 4: Simplify right side
   42,242x = 8,423,935,524
5. Step 5: Solve for x
   x = 8,423,935,524/42,242
6. Step 6: Final answer
   x = 199,420.85