Finding the Third Proportional to 42,574.50 and 91,644.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,574.50 : 91,644.75 = 91,644.75 : x
2. Step 2: Convert to fraction form
   42,574.50/91,644.75 = 91,644.75/x
3. Step 3: Cross multiply
   42,574.50x = 91,644.75 × 91,644.75
4. Step 4: Simplify right side
   42,574.50x = 8,398,760,202.56
5. Step 5: Solve for x
   x = 8,398,760,202.56/42,574.50
6. Step 6: Final answer
   x = 197,272.08