Finding the Third Proportional to 42,585.50 and 89,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,585.50 : 89,584.50 = 89,584.50 : x
2. Step 2: Convert to fraction form
   42,585.50/89,584.50 = 89,584.50/x
3. Step 3: Cross multiply
   42,585.50x = 89,584.50 × 89,584.50
4. Step 4: Simplify right side
   42,585.50x = 8,025,382,640.25
5. Step 5: Solve for x
   x = 8,025,382,640.25/42,585.50
6. Step 6: Final answer
   x = 188,453.41