Finding the Third Proportional to 42,223 and 89,631

Step by Step Solution

1. Step 1: Write the proportion equation
   42,223 : 89,631 = 89,631 : x
2. Step 2: Convert to fraction form
   42,223/89,631 = 89,631/x
3. Step 3: Cross multiply
   42,223x = 89,631 × 89,631
4. Step 4: Simplify right side
   42,223x = 8,033,716,161
5. Step 5: Solve for x
   x = 8,033,716,161/42,223
6. Step 6: Final answer
   x = 190,268.72