Finding the Third Proportional to 42,438 and 89,523

Step by Step Solution

1. Step 1: Write the proportion equation
   42,438 : 89,523 = 89,523 : x
2. Step 2: Convert to fraction form
   42,438/89,523 = 89,523/x
3. Step 3: Cross multiply
   42,438x = 89,523 × 89,523
4. Step 4: Simplify right side
   42,438x = 8,014,367,529
5. Step 5: Solve for x
   x = 8,014,367,529/42,438
6. Step 6: Final answer
   x = 188,848.85