Finding the Third Proportional to 89,420 and 132,584

Step by Step Solution

1. Step 1: Write the proportion equation
   89,420 : 132,584 = 132,584 : x
2. Step 2: Convert to fraction form
   89,420/132,584 = 132,584/x
3. Step 3: Cross multiply
   89,420x = 132,584 × 132,584
4. Step 4: Simplify right side
   89,420x = 17,578,517,056
5. Step 5: Solve for x
   x = 17,578,517,056/89,420
6. Step 6: Final answer
   x = 196,583.73