Finding the Third Proportional to 42,147.75 and 91,732.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42,147.75 : 91,732.25 = 91,732.25 : x
2. Step 2: Convert to fraction form
   42,147.75/91,732.25 = 91,732.25/x
3. Step 3: Cross multiply
   42,147.75x = 91,732.25 × 91,732.25
4. Step 4: Simplify right side
   42,147.75x = 8,414,805,690.06
5. Step 5: Solve for x
   x = 8,414,805,690.06/42,147.75
6. Step 6: Final answer
   x = 199,650.18