Finding the Third Proportional to 42,226 and 89,634

Step by Step Solution

1. Step 1: Write the proportion equation
   42,226 : 89,634 = 89,634 : x
2. Step 2: Convert to fraction form
   42,226/89,634 = 89,634/x
3. Step 3: Cross multiply
   42,226x = 89,634 × 89,634
4. Step 4: Simplify right side
   42,226x = 8,034,253,956
5. Step 5: Solve for x
   x = 8,034,253,956/42,226
6. Step 6: Final answer
   x = 190,267.94