Finding the Third Proportional to 42,179 and 89,823

Step by Step Solution

1. Step 1: Write the proportion equation
   42,179 : 89,823 = 89,823 : x
2. Step 2: Convert to fraction form
   42,179/89,823 = 89,823/x
3. Step 3: Cross multiply
   42,179x = 89,823 × 89,823
4. Step 4: Simplify right side
   42,179x = 8,068,171,329
5. Step 5: Solve for x
   x = 8,068,171,329/42,179
6. Step 6: Final answer
   x = 191,284.08