Finding the Third Proportional to 59,536 and 89,240

Step by Step Solution

1. Step 1: Write the proportion equation
   59,536 : 89,240 = 89,240 : x
2. Step 2: Convert to fraction form
   59,536/89,240 = 89,240/x
3. Step 3: Cross multiply
   59,536x = 89,240 × 89,240
4. Step 4: Simplify right side
   59,536x = 7,963,777,600
5. Step 5: Solve for x
   x = 7,963,777,600/59,536
6. Step 6: Final answer
   x = 133,764.07