Finding the Third Proportional to 42,984 and 91,188

Step by Step Solution

1. Step 1: Write the proportion equation
   42,984 : 91,188 = 91,188 : x
2. Step 2: Convert to fraction form
   42,984/91,188 = 91,188/x
3. Step 3: Cross multiply
   42,984x = 91,188 × 91,188
4. Step 4: Simplify right side
   42,984x = 8,315,251,344
5. Step 5: Solve for x
   x = 8,315,251,344/42,984
6. Step 6: Final answer
   x = 193,449.92