Finding the Third Proportional to 42,078 and 89,346

Step by Step Solution

1. Step 1: Write the proportion equation
   42,078 : 89,346 = 89,346 : x
2. Step 2: Convert to fraction form
   42,078/89,346 = 89,346/x
3. Step 3: Cross multiply
   42,078x = 89,346 × 89,346
4. Step 4: Simplify right side
   42,078x = 7,982,707,716
5. Step 5: Solve for x
   x = 7,982,707,716/42,078
6. Step 6: Final answer
   x = 189,712.15