Finding the Third Proportional to 42,262 and 91,822

Step by Step Solution

1. Step 1: Write the proportion equation
   42,262 : 91,822 = 91,822 : x
2. Step 2: Convert to fraction form
   42,262/91,822 = 91,822/x
3. Step 3: Cross multiply
   42,262x = 91,822 × 91,822
4. Step 4: Simplify right side
   42,262x = 8,431,279,684
5. Step 5: Solve for x
   x = 8,431,279,684/42,262
6. Step 6: Final answer
   x = 199,500.25