Finding the Third Proportional to 42,084 and 91,256

Step by Step Solution

1. Step 1: Write the proportion equation
   42,084 : 91,256 = 91,256 : x
2. Step 2: Convert to fraction form
   42,084/91,256 = 91,256/x
3. Step 3: Cross multiply
   42,084x = 91,256 × 91,256
4. Step 4: Simplify right side
   42,084x = 8,327,657,536
5. Step 5: Solve for x
   x = 8,327,657,536/42,084
6. Step 6: Final answer
   x = 197,881.80